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Finding the Fourth Proportional to 9,195.75, 12,691.55 and 5,216.02

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Solution

The fourth proportional to 9,195.75, 12,691.55 and 5,216.02 is: 7,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.75 : 12,691.55 = 5,216.02 : x
  2. Step 2: Convert to fraction form
    9,195.75/12,691.55 = 5,216.02/x
  3. Step 3: Cross multiply
    9,195.75x = 12,691.55 × 5,216.02
  4. Step 4: Simplify right side
    9,195.75x = 66,199,378.63
  5. Step 5: Solve for x
    x = 66,199,378.63/9,195.75
  6. Step 6: Final answer
    x = 7,198.91

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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.