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Finding the Fourth Proportional to 9,217.42, 13,791.09 and 5,597.53

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Solution

The fourth proportional to 9,217.42, 13,791.09 and 5,597.53 is: 8,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.42 : 13,791.09 = 5,597.53 : x
  2. Step 2: Convert to fraction form
    9,217.42/13,791.09 = 5,597.53/x
  3. Step 3: Cross multiply
    9,217.42x = 13,791.09 × 5,597.53
  4. Step 4: Simplify right side
    9,217.42x = 77,196,026.52
  5. Step 5: Solve for x
    x = 77,196,026.52/9,217.42
  6. Step 6: Final answer
    x = 8,375.02

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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.