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Finding the Fourth Proportional to 7,145.96, 9,861.72 and 4,002.18

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Solution

The fourth proportional to 7,145.96, 9,861.72 and 4,002.18 is: 5,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.96 : 9,861.72 = 4,002.18 : x
  2. Step 2: Convert to fraction form
    7,145.96/9,861.72 = 4,002.18/x
  3. Step 3: Cross multiply
    7,145.96x = 9,861.72 × 4,002.18
  4. Step 4: Simplify right side
    7,145.96x = 39,468,378.55
  5. Step 5: Solve for x
    x = 39,468,378.55/7,145.96
  6. Step 6: Final answer
    x = 5,523.17

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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.