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Finding the Fourth Proportional to 9,039.68, 12,463.12 and 7,527.12

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Solution

The fourth proportional to 9,039.68, 12,463.12 and 7,527.12 is: 10,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.68 : 12,463.12 = 7,527.12 : x
  2. Step 2: Convert to fraction form
    9,039.68/12,463.12 = 7,527.12/x
  3. Step 3: Cross multiply
    9,039.68x = 12,463.12 × 7,527.12
  4. Step 4: Simplify right side
    9,039.68x = 93,811,399.81
  5. Step 5: Solve for x
    x = 93,811,399.81/9,039.68
  6. Step 6: Final answer
    x = 10,377.73

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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.