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Finding the Fourth Proportional to 6,495.22, 8,963.49 and 3,842.56

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Solution

The fourth proportional to 6,495.22, 8,963.49 and 3,842.56 is: 5,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.22 : 8,963.49 = 3,842.56 : x
  2. Step 2: Convert to fraction form
    6,495.22/8,963.49 = 3,842.56/x
  3. Step 3: Cross multiply
    6,495.22x = 8,963.49 × 3,842.56
  4. Step 4: Simplify right side
    6,495.22x = 34,442,748.13
  5. Step 5: Solve for x
    x = 34,442,748.13/6,495.22
  6. Step 6: Final answer
    x = 5,302.78

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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.