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Finding the Fourth Proportional to 9,819,403.80, 13,549,806.36 and 5,468,894.88

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Solution

The fourth proportional to 9,819,403.80, 13,549,806.36 and 5,468,894.88 is: 7,546,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819,403.80 : 13,549,806.36 = 5,468,894.88 : x
  2. Step 2: Convert to fraction form
    9,819,403.80/13,549,806.36 = 5,468,894.88/x
  3. Step 3: Cross multiply
    9,819,403.80x = 13,549,806.36 × 5,468,894.88
  4. Step 4: Simplify right side
    9,819,403.80x = 74,102,466,627,195.44
  5. Step 5: Solve for x
    x = 74,102,466,627,195.44/9,819,403.80
  6. Step 6: Final answer
    x = 7,546,534.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.