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Finding the Fourth Proportional to 6,144.59, 8,481.35 and 5,314.22

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Solution

The fourth proportional to 6,144.59, 8,481.35 and 5,314.22 is: 7,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.59 : 8,481.35 = 5,314.22 : x
  2. Step 2: Convert to fraction form
    6,144.59/8,481.35 = 5,314.22/x
  3. Step 3: Cross multiply
    6,144.59x = 8,481.35 × 5,314.22
  4. Step 4: Simplify right side
    6,144.59x = 45,071,759.80
  5. Step 5: Solve for x
    x = 45,071,759.80/6,144.59
  6. Step 6: Final answer
    x = 7,335.19

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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.