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Finding the Fourth Proportional to 9,177.75, 12,666.11 and 5,200.65

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Solution

The fourth proportional to 9,177.75, 12,666.11 and 5,200.65 is: 7,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.75 : 12,666.11 = 5,200.65 : x
  2. Step 2: Convert to fraction form
    9,177.75/12,666.11 = 5,200.65/x
  3. Step 3: Cross multiply
    9,177.75x = 12,666.11 × 5,200.65
  4. Step 4: Simplify right side
    9,177.75x = 65,871,978.97
  5. Step 5: Solve for x
    x = 65,871,978.97/9,177.75
  6. Step 6: Final answer
    x = 7,177.36

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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.