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Finding the Fourth Proportional to 6,502.89, 9,753.66 and 2,991.81

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Solution

The fourth proportional to 6,502.89, 9,753.66 and 2,991.81 is: 4,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.89 : 9,753.66 = 2,991.81 : x
  2. Step 2: Convert to fraction form
    6,502.89/9,753.66 = 2,991.81/x
  3. Step 3: Cross multiply
    6,502.89x = 9,753.66 × 2,991.81
  4. Step 4: Simplify right side
    6,502.89x = 29,181,097.52
  5. Step 5: Solve for x
    x = 29,181,097.52/6,502.89
  6. Step 6: Final answer
    x = 4,487.40

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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.