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Finding the Fourth Proportional to 7,145.01, 9,862.65 and 4,161.78

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Solution

The fourth proportional to 7,145.01, 9,862.65 and 4,161.78 is: 5,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.01 : 9,862.65 = 4,161.78 : x
  2. Step 2: Convert to fraction form
    7,145.01/9,862.65 = 4,161.78/x
  3. Step 3: Cross multiply
    7,145.01x = 9,862.65 × 4,161.78
  4. Step 4: Simplify right side
    7,145.01x = 41,046,179.52
  5. Step 5: Solve for x
    x = 41,046,179.52/7,145.01
  6. Step 6: Final answer
    x = 5,744.73

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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.