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Finding the Fourth Proportional to 6,209.52, 8,569.40 and 3,414.96

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Solution

The fourth proportional to 6,209.52, 8,569.40 and 3,414.96 is: 4,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.52 : 8,569.40 = 3,414.96 : x
  2. Step 2: Convert to fraction form
    6,209.52/8,569.40 = 3,414.96/x
  3. Step 3: Cross multiply
    6,209.52x = 8,569.40 × 3,414.96
  4. Step 4: Simplify right side
    6,209.52x = 29,264,158.22
  5. Step 5: Solve for x
    x = 29,264,158.22/6,209.52
  6. Step 6: Final answer
    x = 4,712.79

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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.