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Finding the Fourth Proportional to 6,824.27, 9,417.87 and 3,840.32

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Solution

The fourth proportional to 6,824.27, 9,417.87 and 3,840.32 is: 5,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.27 : 9,417.87 = 3,840.32 : x
  2. Step 2: Convert to fraction form
    6,824.27/9,417.87 = 3,840.32/x
  3. Step 3: Cross multiply
    6,824.27x = 9,417.87 × 3,840.32
  4. Step 4: Simplify right side
    6,824.27x = 36,167,587.43
  5. Step 5: Solve for x
    x = 36,167,587.43/6,824.27
  6. Step 6: Final answer
    x = 5,299.85

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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.