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Finding the Fourth Proportional to 10,565.43, 15,769.97 and 9,320.05

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Solution

The fourth proportional to 10,565.43, 15,769.97 and 9,320.05 is: 13,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.43 : 15,769.97 = 9,320.05 : x
  2. Step 2: Convert to fraction form
    10,565.43/15,769.97 = 9,320.05/x
  3. Step 3: Cross multiply
    10,565.43x = 15,769.97 × 9,320.05
  4. Step 4: Simplify right side
    10,565.43x = 146,976,908.90
  5. Step 5: Solve for x
    x = 146,976,908.90/10,565.43
  6. Step 6: Final answer
    x = 13,911.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.