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Finding the Fourth Proportional to 9,538.80, 14,308.16 and 3,691.36

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Solution

The fourth proportional to 9,538.80, 14,308.16 and 3,691.36 is: 5,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.80 : 14,308.16 = 3,691.36 : x
  2. Step 2: Convert to fraction form
    9,538.80/14,308.16 = 3,691.36/x
  3. Step 3: Cross multiply
    9,538.80x = 14,308.16 × 3,691.36
  4. Step 4: Simplify right side
    9,538.80x = 52,816,569.50
  5. Step 5: Solve for x
    x = 52,816,569.50/9,538.80
  6. Step 6: Final answer
    x = 5,537.02

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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.