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Finding the Fourth Proportional to 9,657,948.80, 14,488,672.80 and 4,853,547.20

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Solution

The fourth proportional to 9,657,948.80, 14,488,672.80 and 4,853,547.20 is: 7,281,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,948.80 : 14,488,672.80 = 4,853,547.20 : x
  2. Step 2: Convert to fraction form
    9,657,948.80/14,488,672.80 = 4,853,547.20/x
  3. Step 3: Cross multiply
    9,657,948.80x = 14,488,672.80 × 4,853,547.20
  4. Step 4: Simplify right side
    9,657,948.80x = 70,321,457,300,156.16
  5. Step 5: Solve for x
    x = 70,321,457,300,156.16/9,657,948.80
  6. Step 6: Final answer
    x = 7,281,200.05

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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.