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Finding the Fourth Proportional to 6,306.06, 9,452.89 and 2,354.40

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Solution

The fourth proportional to 6,306.06, 9,452.89 and 2,354.40 is: 3,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.06 : 9,452.89 = 2,354.40 : x
  2. Step 2: Convert to fraction form
    6,306.06/9,452.89 = 2,354.40/x
  3. Step 3: Cross multiply
    6,306.06x = 9,452.89 × 2,354.40
  4. Step 4: Simplify right side
    6,306.06x = 22,255,884.22
  5. Step 5: Solve for x
    x = 22,255,884.22/6,306.06
  6. Step 6: Final answer
    x = 3,529.29

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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.