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Finding the Fourth Proportional to 9,301.59, 13,952.86 and 2,728.31

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Solution

The fourth proportional to 9,301.59, 13,952.86 and 2,728.31 is: 4,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.59 : 13,952.86 = 2,728.31 : x
  2. Step 2: Convert to fraction form
    9,301.59/13,952.86 = 2,728.31/x
  3. Step 3: Cross multiply
    9,301.59x = 13,952.86 × 2,728.31
  4. Step 4: Simplify right side
    9,301.59x = 38,067,650.88
  5. Step 5: Solve for x
    x = 38,067,650.88/9,301.59
  6. Step 6: Final answer
    x = 4,092.60

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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.