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Finding the Fourth Proportional to 9,489.86, 13,097.13 and 5,458.22

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Solution

The fourth proportional to 9,489.86, 13,097.13 and 5,458.22 is: 7,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.86 : 13,097.13 = 5,458.22 : x
  2. Step 2: Convert to fraction form
    9,489.86/13,097.13 = 5,458.22/x
  3. Step 3: Cross multiply
    9,489.86x = 13,097.13 × 5,458.22
  4. Step 4: Simplify right side
    9,489.86x = 71,487,016.91
  5. Step 5: Solve for x
    x = 71,487,016.91/9,489.86
  6. Step 6: Final answer
    x = 7,532.99

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