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Finding the Fourth Proportional to 9,834,806.40, 14,752,209.60 and 9,771,820.80

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Solution

The fourth proportional to 9,834,806.40, 14,752,209.60 and 9,771,820.80 is: 14,657,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834,806.40 : 14,752,209.60 = 9,771,820.80 : x
  2. Step 2: Convert to fraction form
    9,834,806.40/14,752,209.60 = 9,771,820.80/x
  3. Step 3: Cross multiply
    9,834,806.40x = 14,752,209.60 × 9,771,820.80
  4. Step 4: Simplify right side
    9,834,806.40x = 144,155,948,615,239.69
  5. Step 5: Solve for x
    x = 144,155,948,615,239.69/9,834,806.40
  6. Step 6: Final answer
    x = 14,657,731.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.