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Finding the Fourth Proportional to 6,651.92, 9,113.08 and 6,402.64

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Solution

The fourth proportional to 6,651.92, 9,113.08 and 6,402.64 is: 8,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.92 : 9,113.08 = 6,402.64 : x
  2. Step 2: Convert to fraction form
    6,651.92/9,113.08 = 6,402.64/x
  3. Step 3: Cross multiply
    6,651.92x = 9,113.08 × 6,402.64
  4. Step 4: Simplify right side
    6,651.92x = 58,347,770.53
  5. Step 5: Solve for x
    x = 58,347,770.53/6,651.92
  6. Step 6: Final answer
    x = 8,771.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.