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Finding the Fourth Proportional to 9,219.56, 13,843.15 and 5,275.27

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Solution

The fourth proportional to 9,219.56, 13,843.15 and 5,275.27 is: 7,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.56 : 13,843.15 = 5,275.27 : x
  2. Step 2: Convert to fraction form
    9,219.56/13,843.15 = 5,275.27/x
  3. Step 3: Cross multiply
    9,219.56x = 13,843.15 × 5,275.27
  4. Step 4: Simplify right side
    9,219.56x = 73,026,306.10
  5. Step 5: Solve for x
    x = 73,026,306.10/9,219.56
  6. Step 6: Final answer
    x = 7,920.80

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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.