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Finding the Fourth Proportional to 9,960.72, 13,740.08 and 6,182.16

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Solution

The fourth proportional to 9,960.72, 13,740.08 and 6,182.16 is: 8,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.72 : 13,740.08 = 6,182.16 : x
  2. Step 2: Convert to fraction form
    9,960.72/13,740.08 = 6,182.16/x
  3. Step 3: Cross multiply
    9,960.72x = 13,740.08 × 6,182.16
  4. Step 4: Simplify right side
    9,960.72x = 84,943,372.97
  5. Step 5: Solve for x
    x = 84,943,372.97/9,960.72
  6. Step 6: Final answer
    x = 8,527.83

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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.