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Finding the Fourth Proportional to 9,452.68, 13,044.69 and 5,866.30

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Solution

The fourth proportional to 9,452.68, 13,044.69 and 5,866.30 is: 8,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.68 : 13,044.69 = 5,866.30 : x
  2. Step 2: Convert to fraction form
    9,452.68/13,044.69 = 5,866.30/x
  3. Step 3: Cross multiply
    9,452.68x = 13,044.69 × 5,866.30
  4. Step 4: Simplify right side
    9,452.68x = 76,524,064.95
  5. Step 5: Solve for x
    x = 76,524,064.95/9,452.68
  6. Step 6: Final answer
    x = 8,095.49

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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.