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Finding the Fourth Proportional to 6,487.75, 9,730.73 and 2,327.16

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Solution

The fourth proportional to 6,487.75, 9,730.73 and 2,327.16 is: 3,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.75 : 9,730.73 = 2,327.16 : x
  2. Step 2: Convert to fraction form
    6,487.75/9,730.73 = 2,327.16/x
  3. Step 3: Cross multiply
    6,487.75x = 9,730.73 × 2,327.16
  4. Step 4: Simplify right side
    6,487.75x = 22,644,925.83
  5. Step 5: Solve for x
    x = 22,644,925.83/6,487.75
  6. Step 6: Final answer
    x = 3,490.42

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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.