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Finding the Fourth Proportional to 7,146.41, 9,862.07 and 4,002.62

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Solution

The fourth proportional to 7,146.41, 9,862.07 and 4,002.62 is: 5,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.41 : 9,862.07 = 4,002.62 : x
  2. Step 2: Convert to fraction form
    7,146.41/9,862.07 = 4,002.62/x
  3. Step 3: Cross multiply
    7,146.41x = 9,862.07 × 4,002.62
  4. Step 4: Simplify right side
    7,146.41x = 39,474,049.30
  5. Step 5: Solve for x
    x = 39,474,049.30/7,146.41
  6. Step 6: Final answer
    x = 5,523.62

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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.