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Finding the Fourth Proportional to 6,306.88, 9,460.32 and 2,201.92

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Solution

The fourth proportional to 6,306.88, 9,460.32 and 2,201.92 is: 3,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.88 : 9,460.32 = 2,201.92 : x
  2. Step 2: Convert to fraction form
    6,306.88/9,460.32 = 2,201.92/x
  3. Step 3: Cross multiply
    6,306.88x = 9,460.32 × 2,201.92
  4. Step 4: Simplify right side
    6,306.88x = 20,830,867.81
  5. Step 5: Solve for x
    x = 20,830,867.81/6,306.88
  6. Step 6: Final answer
    x = 3,302.88

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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.