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Finding the Fourth Proportional to 9,391.90, 12,958.69 and 5,614.44

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Solution

The fourth proportional to 9,391.90, 12,958.69 and 5,614.44 is: 7,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.90 : 12,958.69 = 5,614.44 : x
  2. Step 2: Convert to fraction form
    9,391.90/12,958.69 = 5,614.44/x
  3. Step 3: Cross multiply
    9,391.90x = 12,958.69 × 5,614.44
  4. Step 4: Simplify right side
    9,391.90x = 72,755,787.48
  5. Step 5: Solve for x
    x = 72,755,787.48/9,391.90
  6. Step 6: Final answer
    x = 7,746.65

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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.