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Finding the Fourth Proportional to 9,106.72, 12,565.99 and 5,073.55

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Solution

The fourth proportional to 9,106.72, 12,565.99 and 5,073.55 is: 7,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.72 : 12,565.99 = 5,073.55 : x
  2. Step 2: Convert to fraction form
    9,106.72/12,565.99 = 5,073.55/x
  3. Step 3: Cross multiply
    9,106.72x = 12,565.99 × 5,073.55
  4. Step 4: Simplify right side
    9,106.72x = 63,754,178.56
  5. Step 5: Solve for x
    x = 63,754,178.56/9,106.72
  6. Step 6: Final answer
    x = 7,000.78

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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.