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Finding the Fourth Proportional to 9,242.82, 12,755.10 and 5,264.31

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Solution

The fourth proportional to 9,242.82, 12,755.10 and 5,264.31 is: 7,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.82 : 12,755.10 = 5,264.31 : x
  2. Step 2: Convert to fraction form
    9,242.82/12,755.10 = 5,264.31/x
  3. Step 3: Cross multiply
    9,242.82x = 12,755.10 × 5,264.31
  4. Step 4: Simplify right side
    9,242.82x = 67,146,710.38
  5. Step 5: Solve for x
    x = 67,146,710.38/9,242.82
  6. Step 6: Final answer
    x = 7,264.74

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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.