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Finding the Fourth Proportional to 9,391.28, 12,959.16 and 5,198.48

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Solution

The fourth proportional to 9,391.28, 12,959.16 and 5,198.48 is: 7,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.28 : 12,959.16 = 5,198.48 : x
  2. Step 2: Convert to fraction form
    9,391.28/12,959.16 = 5,198.48/x
  3. Step 3: Cross multiply
    9,391.28x = 12,959.16 × 5,198.48
  4. Step 4: Simplify right side
    9,391.28x = 67,367,934.08
  5. Step 5: Solve for x
    x = 67,367,934.08/9,391.28
  6. Step 6: Final answer
    x = 7,173.46

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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.