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Finding the Fourth Proportional to 6,302.80, 9,454.66 and 2,141.12

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Solution

The fourth proportional to 6,302.80, 9,454.66 and 2,141.12 is: 3,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.80 : 9,454.66 = 2,141.12 : x
  2. Step 2: Convert to fraction form
    6,302.80/9,454.66 = 2,141.12/x
  3. Step 3: Cross multiply
    6,302.80x = 9,454.66 × 2,141.12
  4. Step 4: Simplify right side
    6,302.80x = 20,243,561.62
  5. Step 5: Solve for x
    x = 20,243,561.62/6,302.80
  6. Step 6: Final answer
    x = 3,211.84

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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.