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Finding the Fourth Proportional to 6,982.60, 9,635.92 and 3,838.76

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Solution

The fourth proportional to 6,982.60, 9,635.92 and 3,838.76 is: 5,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.60 : 9,635.92 = 3,838.76 : x
  2. Step 2: Convert to fraction form
    6,982.60/9,635.92 = 3,838.76/x
  3. Step 3: Cross multiply
    6,982.60x = 9,635.92 × 3,838.76
  4. Step 4: Simplify right side
    6,982.60x = 36,989,984.26
  5. Step 5: Solve for x
    x = 36,989,984.26/6,982.60
  6. Step 6: Final answer
    x = 5,297.45

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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.