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Finding the Fourth Proportional to 9,407.25, 14,158.13 and 7,079.31

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Solution

The fourth proportional to 9,407.25, 14,158.13 and 7,079.31 is: 10,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.25 : 14,158.13 = 7,079.31 : x
  2. Step 2: Convert to fraction form
    9,407.25/14,158.13 = 7,079.31/x
  3. Step 3: Cross multiply
    9,407.25x = 14,158.13 × 7,079.31
  4. Step 4: Simplify right side
    9,407.25x = 100,229,755.89
  5. Step 5: Solve for x
    x = 100,229,755.89/9,407.25
  6. Step 6: Final answer
    x = 10,654.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.