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Finding the Fourth Proportional to 6,882, 9,522.18 and 5,999.64

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Solution

The fourth proportional to 6,882, 9,522.18 and 5,999.64 is: 8,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882 : 9,522.18 = 5,999.64 : x
  2. Step 2: Convert to fraction form
    6,882/9,522.18 = 5,999.64/x
  3. Step 3: Cross multiply
    6,882x = 9,522.18 × 5,999.64
  4. Step 4: Simplify right side
    6,882x = 57,129,652.02
  5. Step 5: Solve for x
    x = 57,129,652.02/6,882
  6. Step 6: Final answer
    x = 8,301.32

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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.