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Finding the Fourth Proportional to 9,098.40, 13,640.34 and 5,147.22

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Solution

The fourth proportional to 9,098.40, 13,640.34 and 5,147.22 is: 7,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.40 : 13,640.34 = 5,147.22 : x
  2. Step 2: Convert to fraction form
    9,098.40/13,640.34 = 5,147.22/x
  3. Step 3: Cross multiply
    9,098.40x = 13,640.34 × 5,147.22
  4. Step 4: Simplify right side
    9,098.40x = 70,209,830.85
  5. Step 5: Solve for x
    x = 70,209,830.85/9,098.40
  6. Step 6: Final answer
    x = 7,716.72

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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.