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Finding the Fourth Proportional to 9,392.19, 12,960.32 and 5,614.61

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Solution

The fourth proportional to 9,392.19, 12,960.32 and 5,614.61 is: 7,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.19 : 12,960.32 = 5,614.61 : x
  2. Step 2: Convert to fraction form
    9,392.19/12,960.32 = 5,614.61/x
  3. Step 3: Cross multiply
    9,392.19x = 12,960.32 × 5,614.61
  4. Step 4: Simplify right side
    9,392.19x = 72,767,049.40
  5. Step 5: Solve for x
    x = 72,767,049.40/9,392.19
  6. Step 6: Final answer
    x = 7,747.61

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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.