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Finding the Fourth Proportional to 9,497.28, 14,248.80 and 4,565.52

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Solution

The fourth proportional to 9,497.28, 14,248.80 and 4,565.52 is: 6,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.28 : 14,248.80 = 4,565.52 : x
  2. Step 2: Convert to fraction form
    9,497.28/14,248.80 = 4,565.52/x
  3. Step 3: Cross multiply
    9,497.28x = 14,248.80 × 4,565.52
  4. Step 4: Simplify right side
    9,497.28x = 65,053,181.38
  5. Step 5: Solve for x
    x = 65,053,181.38/9,497.28
  6. Step 6: Final answer
    x = 6,849.66

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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.