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Finding the Fourth Proportional to 9,197.20, 13,798.68 and 5,914

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Solution

The fourth proportional to 9,197.20, 13,798.68 and 5,914 is: 8,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.20 : 13,798.68 = 5,914 : x
  2. Step 2: Convert to fraction form
    9,197.20/13,798.68 = 5,914/x
  3. Step 3: Cross multiply
    9,197.20x = 13,798.68 × 5,914
  4. Step 4: Simplify right side
    9,197.20x = 81,605,393.52
  5. Step 5: Solve for x
    x = 81,605,393.52/9,197.20
  6. Step 6: Final answer
    x = 8,872.85

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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.