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Finding the Fourth Proportional to 10,691.78, 14,734.24 and 9,292.10

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Solution

The fourth proportional to 10,691.78, 14,734.24 and 9,292.10 is: 12,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.78 : 14,734.24 = 9,292.10 : x
  2. Step 2: Convert to fraction form
    10,691.78/14,734.24 = 9,292.10/x
  3. Step 3: Cross multiply
    10,691.78x = 14,734.24 × 9,292.10
  4. Step 4: Simplify right side
    10,691.78x = 136,911,934.60
  5. Step 5: Solve for x
    x = 136,911,934.60/10,691.78
  6. Step 6: Final answer
    x = 12,805.35

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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.