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Finding the Fourth Proportional to 9,397.92, 14,089.58 and 5,497.76

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Solution

The fourth proportional to 9,397.92, 14,089.58 and 5,497.76 is: 8,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.92 : 14,089.58 = 5,497.76 : x
  2. Step 2: Convert to fraction form
    9,397.92/14,089.58 = 5,497.76/x
  3. Step 3: Cross multiply
    9,397.92x = 14,089.58 × 5,497.76
  4. Step 4: Simplify right side
    9,397.92x = 77,461,129.34
  5. Step 5: Solve for x
    x = 77,461,129.34/9,397.92
  6. Step 6: Final answer
    x = 8,242.37

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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.