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Finding the Fourth Proportional to 9,097.38, 13,645.46 and 3,549.69

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Solution

The fourth proportional to 9,097.38, 13,645.46 and 3,549.69 is: 5,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.38 : 13,645.46 = 3,549.69 : x
  2. Step 2: Convert to fraction form
    9,097.38/13,645.46 = 3,549.69/x
  3. Step 3: Cross multiply
    9,097.38x = 13,645.46 × 3,549.69
  4. Step 4: Simplify right side
    9,097.38x = 48,437,135.16
  5. Step 5: Solve for x
    x = 48,437,135.16/9,097.38
  6. Step 6: Final answer
    x = 5,324.30

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