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Finding the Fourth Proportional to 6,486.53, 8,951.85 and 3,834.18

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Solution

The fourth proportional to 6,486.53, 8,951.85 and 3,834.18 is: 5,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.53 : 8,951.85 = 3,834.18 : x
  2. Step 2: Convert to fraction form
    6,486.53/8,951.85 = 3,834.18/x
  3. Step 3: Cross multiply
    6,486.53x = 8,951.85 × 3,834.18
  4. Step 4: Simplify right side
    6,486.53x = 34,323,004.23
  5. Step 5: Solve for x
    x = 34,323,004.23/6,486.53
  6. Step 6: Final answer
    x = 5,291.43

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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.