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Finding the Fourth Proportional to 9,166.55, 13,753.92 and 5,270.96

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Solution

The fourth proportional to 9,166.55, 13,753.92 and 5,270.96 is: 7,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.55 : 13,753.92 = 5,270.96 : x
  2. Step 2: Convert to fraction form
    9,166.55/13,753.92 = 5,270.96/x
  3. Step 3: Cross multiply
    9,166.55x = 13,753.92 × 5,270.96
  4. Step 4: Simplify right side
    9,166.55x = 72,496,362.16
  5. Step 5: Solve for x
    x = 72,496,362.16/9,166.55
  6. Step 6: Final answer
    x = 7,908.79

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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.