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Finding the Fourth Proportional to 7,145.85, 9,861.17 and 4,002.15

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Solution

The fourth proportional to 7,145.85, 9,861.17 and 4,002.15 is: 5,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.85 : 9,861.17 = 4,002.15 : x
  2. Step 2: Convert to fraction form
    7,145.85/9,861.17 = 4,002.15/x
  3. Step 3: Cross multiply
    7,145.85x = 9,861.17 × 4,002.15
  4. Step 4: Simplify right side
    7,145.85x = 39,465,861.50
  5. Step 5: Solve for x
    x = 39,465,861.50/7,145.85
  6. Step 6: Final answer
    x = 5,522.91

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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.