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Finding the Fourth Proportional to 9,425.19, 13,006.92 and 5,176.65

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Solution

The fourth proportional to 9,425.19, 13,006.92 and 5,176.65 is: 7,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.19 : 13,006.92 = 5,176.65 : x
  2. Step 2: Convert to fraction form
    9,425.19/13,006.92 = 5,176.65/x
  3. Step 3: Cross multiply
    9,425.19x = 13,006.92 × 5,176.65
  4. Step 4: Simplify right side
    9,425.19x = 67,332,272.42
  5. Step 5: Solve for x
    x = 67,332,272.42/9,425.19
  6. Step 6: Final answer
    x = 7,143.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.