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Finding the Fourth Proportional to 9,389.52, 12,955.97 and 5,614.22

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Solution

The fourth proportional to 9,389.52, 12,955.97 and 5,614.22 is: 7,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.52 : 12,955.97 = 5,614.22 : x
  2. Step 2: Convert to fraction form
    9,389.52/12,955.97 = 5,614.22/x
  3. Step 3: Cross multiply
    9,389.52x = 12,955.97 × 5,614.22
  4. Step 4: Simplify right side
    9,389.52x = 72,737,573.04
  5. Step 5: Solve for x
    x = 72,737,573.04/9,389.52
  6. Step 6: Final answer
    x = 7,746.68

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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.