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Finding the Fourth Proportional to 6,461.06, 9,691.60 and 4,269.28

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Solution

The fourth proportional to 6,461.06, 9,691.60 and 4,269.28 is: 6,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.06 : 9,691.60 = 4,269.28 : x
  2. Step 2: Convert to fraction form
    6,461.06/9,691.60 = 4,269.28/x
  3. Step 3: Cross multiply
    6,461.06x = 9,691.60 × 4,269.28
  4. Step 4: Simplify right side
    6,461.06x = 41,376,132.70
  5. Step 5: Solve for x
    x = 41,376,132.70/6,461.06
  6. Step 6: Final answer
    x = 6,403.92

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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.