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Finding the Fourth Proportional to 6,914.56, 9,540.48 and 3,930.16

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Solution

The fourth proportional to 6,914.56, 9,540.48 and 3,930.16 is: 5,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.56 : 9,540.48 = 3,930.16 : x
  2. Step 2: Convert to fraction form
    6,914.56/9,540.48 = 3,930.16/x
  3. Step 3: Cross multiply
    6,914.56x = 9,540.48 × 3,930.16
  4. Step 4: Simplify right side
    6,914.56x = 37,495,612.88
  5. Step 5: Solve for x
    x = 37,495,612.88/6,914.56
  6. Step 6: Final answer
    x = 5,422.70

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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.