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Finding the Fourth Proportional to 9,170.96, 13,760.08 and 4,242.92

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Solution

The fourth proportional to 9,170.96, 13,760.08 and 4,242.92 is: 6,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.96 : 13,760.08 = 4,242.92 : x
  2. Step 2: Convert to fraction form
    9,170.96/13,760.08 = 4,242.92/x
  3. Step 3: Cross multiply
    9,170.96x = 13,760.08 × 4,242.92
  4. Step 4: Simplify right side
    9,170.96x = 58,382,839.23
  5. Step 5: Solve for x
    x = 58,382,839.23/9,170.96
  6. Step 6: Final answer
    x = 6,366.06

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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.