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Finding the Fourth Proportional to 6,418.68, 9,611.52 and 5,686.02

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Solution

The fourth proportional to 6,418.68, 9,611.52 and 5,686.02 is: 8,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.68 : 9,611.52 = 5,686.02 : x
  2. Step 2: Convert to fraction form
    6,418.68/9,611.52 = 5,686.02/x
  3. Step 3: Cross multiply
    6,418.68x = 9,611.52 × 5,686.02
  4. Step 4: Simplify right side
    6,418.68x = 54,651,294.95
  5. Step 5: Solve for x
    x = 54,651,294.95/6,418.68
  6. Step 6: Final answer
    x = 8,514.41

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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.