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Finding the Fourth Proportional to 6,500.64, 8,968.56 and 3,981.84

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Solution

The fourth proportional to 6,500.64, 8,968.56 and 3,981.84 is: 5,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.64 : 8,968.56 = 3,981.84 : x
  2. Step 2: Convert to fraction form
    6,500.64/8,968.56 = 3,981.84/x
  3. Step 3: Cross multiply
    6,500.64x = 8,968.56 × 3,981.84
  4. Step 4: Simplify right side
    6,500.64x = 35,711,370.95
  5. Step 5: Solve for x
    x = 35,711,370.95/6,500.64
  6. Step 6: Final answer
    x = 5,493.52

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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.