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Finding the Fourth Proportional to 6,884, 9,524.94 and 6,001.64

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Solution

The fourth proportional to 6,884, 9,524.94 and 6,001.64 is: 8,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 9,524.94 = 6,001.64 : x
  2. Step 2: Convert to fraction form
    6,884/9,524.94 = 6,001.64/x
  3. Step 3: Cross multiply
    6,884x = 9,524.94 × 6,001.64
  4. Step 4: Simplify right side
    6,884x = 57,165,260.90
  5. Step 5: Solve for x
    x = 57,165,260.90/6,884
  6. Step 6: Final answer
    x = 8,304.08

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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.