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Finding the Fourth Proportional to 9,132.30, 12,609.54 and 8,026.38

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Solution

The fourth proportional to 9,132.30, 12,609.54 and 8,026.38 is: 11,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.30 : 12,609.54 = 8,026.38 : x
  2. Step 2: Convert to fraction form
    9,132.30/12,609.54 = 8,026.38/x
  3. Step 3: Cross multiply
    9,132.30x = 12,609.54 × 8,026.38
  4. Step 4: Simplify right side
    9,132.30x = 101,208,959.67
  5. Step 5: Solve for x
    x = 101,208,959.67/9,132.30
  6. Step 6: Final answer
    x = 11,082.53

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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.