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Finding the Fourth Proportional to 9,429.65, 13,013.14 and 5,180.98

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Solution

The fourth proportional to 9,429.65, 13,013.14 and 5,180.98 is: 7,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.65 : 13,013.14 = 5,180.98 : x
  2. Step 2: Convert to fraction form
    9,429.65/13,013.14 = 5,180.98/x
  3. Step 3: Cross multiply
    9,429.65x = 13,013.14 × 5,180.98
  4. Step 4: Simplify right side
    9,429.65x = 67,420,729.95
  5. Step 5: Solve for x
    x = 67,420,729.95/9,429.65
  6. Step 6: Final answer
    x = 7,149.87

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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.