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Finding the Fourth Proportional to 7,145.90, 9,861.33 and 4,002.09

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Solution

The fourth proportional to 7,145.90, 9,861.33 and 4,002.09 is: 5,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.90 : 9,861.33 = 4,002.09 : x
  2. Step 2: Convert to fraction form
    7,145.90/9,861.33 = 4,002.09/x
  3. Step 3: Cross multiply
    7,145.90x = 9,861.33 × 4,002.09
  4. Step 4: Simplify right side
    7,145.90x = 39,465,930.18
  5. Step 5: Solve for x
    x = 39,465,930.18/7,145.90
  6. Step 6: Final answer
    x = 5,522.88

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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.