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Finding the Fourth Proportional to 6,839.01, 9,438.54 and 4,188.18

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Solution

The fourth proportional to 6,839.01, 9,438.54 and 4,188.18 is: 5,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.01 : 9,438.54 = 4,188.18 : x
  2. Step 2: Convert to fraction form
    6,839.01/9,438.54 = 4,188.18/x
  3. Step 3: Cross multiply
    6,839.01x = 9,438.54 × 4,188.18
  4. Step 4: Simplify right side
    6,839.01x = 39,530,304.46
  5. Step 5: Solve for x
    x = 39,530,304.46/6,839.01
  6. Step 6: Final answer
    x = 5,780.12

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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.