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Finding the Fourth Proportional to 9,652.38, 14,502.77 and 6,143.90

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Solution

The fourth proportional to 9,652.38, 14,502.77 and 6,143.90 is: 9,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.38 : 14,502.77 = 6,143.90 : x
  2. Step 2: Convert to fraction form
    9,652.38/14,502.77 = 6,143.90/x
  3. Step 3: Cross multiply
    9,652.38x = 14,502.77 × 6,143.90
  4. Step 4: Simplify right side
    9,652.38x = 89,103,568.60
  5. Step 5: Solve for x
    x = 89,103,568.60/9,652.38
  6. Step 6: Final answer
    x = 9,231.25

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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.