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Finding the Fourth Proportional to 6,589.35, 9,877.46 and 3,292.38

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Solution

The fourth proportional to 6,589.35, 9,877.46 and 3,292.38 is: 4,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.35 : 9,877.46 = 3,292.38 : x
  2. Step 2: Convert to fraction form
    6,589.35/9,877.46 = 3,292.38/x
  3. Step 3: Cross multiply
    6,589.35x = 9,877.46 × 3,292.38
  4. Step 4: Simplify right side
    6,589.35x = 32,520,335.29
  5. Step 5: Solve for x
    x = 32,520,335.29/6,589.35
  6. Step 6: Final answer
    x = 4,935.29

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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.