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Finding the Fourth Proportional to 6,641.52, 9,164.76 and 3,808.88

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Solution

The fourth proportional to 6,641.52, 9,164.76 and 3,808.88 is: 5,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.52 : 9,164.76 = 3,808.88 : x
  2. Step 2: Convert to fraction form
    6,641.52/9,164.76 = 3,808.88/x
  3. Step 3: Cross multiply
    6,641.52x = 9,164.76 × 3,808.88
  4. Step 4: Simplify right side
    6,641.52x = 34,907,471.07
  5. Step 5: Solve for x
    x = 34,907,471.07/6,641.52
  6. Step 6: Final answer
    x = 5,255.95

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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.