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Finding the Fourth Proportional to 6,348.92, 9,524.48 and 2,653.75

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Solution

The fourth proportional to 6,348.92, 9,524.48 and 2,653.75 is: 3,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.92 : 9,524.48 = 2,653.75 : x
  2. Step 2: Convert to fraction form
    6,348.92/9,524.48 = 2,653.75/x
  3. Step 3: Cross multiply
    6,348.92x = 9,524.48 × 2,653.75
  4. Step 4: Simplify right side
    6,348.92x = 25,275,588.80
  5. Step 5: Solve for x
    x = 25,275,588.80/6,348.92
  6. Step 6: Final answer
    x = 3,981.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.