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Finding the Fourth Proportional to 6,418.48, 9,649.68 and 5,937.52

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Solution

The fourth proportional to 6,418.48, 9,649.68 and 5,937.52 is: 8,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.48 : 9,649.68 = 5,937.52 : x
  2. Step 2: Convert to fraction form
    6,418.48/9,649.68 = 5,937.52/x
  3. Step 3: Cross multiply
    6,418.48x = 9,649.68 × 5,937.52
  4. Step 4: Simplify right side
    6,418.48x = 57,295,167.99
  5. Step 5: Solve for x
    x = 57,295,167.99/6,418.48
  6. Step 6: Final answer
    x = 8,926.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.