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Finding the Fourth Proportional to 6,777.28, 9,349.68 and 3,981.52

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Solution

The fourth proportional to 6,777.28, 9,349.68 and 3,981.52 is: 5,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.28 : 9,349.68 = 3,981.52 : x
  2. Step 2: Convert to fraction form
    6,777.28/9,349.68 = 3,981.52/x
  3. Step 3: Cross multiply
    6,777.28x = 9,349.68 × 3,981.52
  4. Step 4: Simplify right side
    6,777.28x = 37,225,937.91
  5. Step 5: Solve for x
    x = 37,225,937.91/6,777.28
  6. Step 6: Final answer
    x = 5,492.75

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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.