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Finding the Fourth Proportional to 6,512.48, 9,757.68 and 4,654.16

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Solution

The fourth proportional to 6,512.48, 9,757.68 and 4,654.16 is: 6,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.48 : 9,757.68 = 4,654.16 : x
  2. Step 2: Convert to fraction form
    6,512.48/9,757.68 = 4,654.16/x
  3. Step 3: Cross multiply
    6,512.48x = 9,757.68 × 4,654.16
  4. Step 4: Simplify right side
    6,512.48x = 45,413,803.95
  5. Step 5: Solve for x
    x = 45,413,803.95/6,512.48
  6. Step 6: Final answer
    x = 6,973.35

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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.