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Finding the Fourth Proportional to 6,596.87, 9,103.82 and 3,612.83

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Solution

The fourth proportional to 6,596.87, 9,103.82 and 3,612.83 is: 4,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.87 : 9,103.82 = 3,612.83 : x
  2. Step 2: Convert to fraction form
    6,596.87/9,103.82 = 3,612.83/x
  3. Step 3: Cross multiply
    6,596.87x = 9,103.82 × 3,612.83
  4. Step 4: Simplify right side
    6,596.87x = 32,890,490.43
  5. Step 5: Solve for x
    x = 32,890,490.43/6,596.87
  6. Step 6: Final answer
    x = 4,985.78

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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.