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Finding the Fourth Proportional to 9,077.76, 13,614.75 and 3,530.98

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Solution

The fourth proportional to 9,077.76, 13,614.75 and 3,530.98 is: 5,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.76 : 13,614.75 = 3,530.98 : x
  2. Step 2: Convert to fraction form
    9,077.76/13,614.75 = 3,530.98/x
  3. Step 3: Cross multiply
    9,077.76x = 13,614.75 × 3,530.98
  4. Step 4: Simplify right side
    9,077.76x = 48,073,375.92
  5. Step 5: Solve for x
    x = 48,073,375.92/9,077.76
  6. Step 6: Final answer
    x = 5,295.73

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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.