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Finding the Fourth Proportional to 9,034.74, 12,440.25 and 7,909.38

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Solution

The fourth proportional to 9,034.74, 12,440.25 and 7,909.38 is: 10,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.74 : 12,440.25 = 7,909.38 : x
  2. Step 2: Convert to fraction form
    9,034.74/12,440.25 = 7,909.38/x
  3. Step 3: Cross multiply
    9,034.74x = 12,440.25 × 7,909.38
  4. Step 4: Simplify right side
    9,034.74x = 98,394,664.55
  5. Step 5: Solve for x
    x = 98,394,664.55/9,034.74
  6. Step 6: Final answer
    x = 10,890.70

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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.