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Finding the Fourth Proportional to 9,170.72, 12,655.50 and 5,191.76

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Solution

The fourth proportional to 9,170.72, 12,655.50 and 5,191.76 is: 7,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.72 : 12,655.50 = 5,191.76 : x
  2. Step 2: Convert to fraction form
    9,170.72/12,655.50 = 5,191.76/x
  3. Step 3: Cross multiply
    9,170.72x = 12,655.50 × 5,191.76
  4. Step 4: Simplify right side
    9,170.72x = 65,704,318.68
  5. Step 5: Solve for x
    x = 65,704,318.68/9,170.72
  6. Step 6: Final answer
    x = 7,164.58

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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.