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Finding the Fourth Proportional to 9,392.29, 12,960.47 and 5,614.72

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Solution

The fourth proportional to 9,392.29, 12,960.47 and 5,614.72 is: 7,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.29 : 12,960.47 = 5,614.72 : x
  2. Step 2: Convert to fraction form
    9,392.29/12,960.47 = 5,614.72/x
  3. Step 3: Cross multiply
    9,392.29x = 12,960.47 × 5,614.72
  4. Step 4: Simplify right side
    9,392.29x = 72,769,391.75
  5. Step 5: Solve for x
    x = 72,769,391.75/9,392.29
  6. Step 6: Final answer
    x = 7,747.78

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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.