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Finding the Fourth Proportional to 6,306.56, 9,455.36 and 2,407.68

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Solution

The fourth proportional to 6,306.56, 9,455.36 and 2,407.68 is: 3,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.56 : 9,455.36 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    6,306.56/9,455.36 = 2,407.68/x
  3. Step 3: Cross multiply
    6,306.56x = 9,455.36 × 2,407.68
  4. Step 4: Simplify right side
    6,306.56x = 22,765,481.16
  5. Step 5: Solve for x
    x = 22,765,481.16/6,306.56
  6. Step 6: Final answer
    x = 3,609.81

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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.