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Finding the Fourth Proportional to 9,103.92, 12,565.56 and 5,790

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Solution

The fourth proportional to 9,103.92, 12,565.56 and 5,790 is: 7,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.92 : 12,565.56 = 5,790 : x
  2. Step 2: Convert to fraction form
    9,103.92/12,565.56 = 5,790/x
  3. Step 3: Cross multiply
    9,103.92x = 12,565.56 × 5,790
  4. Step 4: Simplify right side
    9,103.92x = 72,754,592.40
  5. Step 5: Solve for x
    x = 72,754,592.40/9,103.92
  6. Step 6: Final answer
    x = 7,991.57

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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.