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Finding the Fourth Proportional to 9,010.31, 12,434.18 and 5,031.43

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Solution

The fourth proportional to 9,010.31, 12,434.18 and 5,031.43 is: 6,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.31 : 12,434.18 = 5,031.43 : x
  2. Step 2: Convert to fraction form
    9,010.31/12,434.18 = 5,031.43/x
  3. Step 3: Cross multiply
    9,010.31x = 12,434.18 × 5,031.43
  4. Step 4: Simplify right side
    9,010.31x = 62,561,687.77
  5. Step 5: Solve for x
    x = 62,561,687.77/9,010.31
  6. Step 6: Final answer
    x = 6,943.34

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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.