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Finding the Fourth Proportional to 9,476.27, 13,082.54 and 6,652.31

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Solution

The fourth proportional to 9,476.27, 13,082.54 and 6,652.31 is: 9,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.27 : 13,082.54 = 6,652.31 : x
  2. Step 2: Convert to fraction form
    9,476.27/13,082.54 = 6,652.31/x
  3. Step 3: Cross multiply
    9,476.27x = 13,082.54 × 6,652.31
  4. Step 4: Simplify right side
    9,476.27x = 87,029,078.41
  5. Step 5: Solve for x
    x = 87,029,078.41/9,476.27
  6. Step 6: Final answer
    x = 9,183.90

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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.