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Finding the Fourth Proportional to 6,824.68, 9,417.56 and 3,839.94

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Solution

The fourth proportional to 6,824.68, 9,417.56 and 3,839.94 is: 5,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.68 : 9,417.56 = 3,839.94 : x
  2. Step 2: Convert to fraction form
    6,824.68/9,417.56 = 3,839.94/x
  3. Step 3: Cross multiply
    6,824.68x = 9,417.56 × 3,839.94
  4. Step 4: Simplify right side
    6,824.68x = 36,162,865.35
  5. Step 5: Solve for x
    x = 36,162,865.35/6,824.68
  6. Step 6: Final answer
    x = 5,298.84

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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.