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Finding the Fourth Proportional to 9,085.31, 12,560.09 and 9,002.15

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Solution

The fourth proportional to 9,085.31, 12,560.09 and 9,002.15 is: 12,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.31 : 12,560.09 = 9,002.15 : x
  2. Step 2: Convert to fraction form
    9,085.31/12,560.09 = 9,002.15/x
  3. Step 3: Cross multiply
    9,085.31x = 12,560.09 × 9,002.15
  4. Step 4: Simplify right side
    9,085.31x = 113,067,706.38
  5. Step 5: Solve for x
    x = 113,067,706.38/9,085.31
  6. Step 6: Final answer
    x = 12,445.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.