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Finding the Fourth Proportional to 6,304.56, 9,456.48 and 2,409.36

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Solution

The fourth proportional to 6,304.56, 9,456.48 and 2,409.36 is: 3,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.56 : 9,456.48 = 2,409.36 : x
  2. Step 2: Convert to fraction form
    6,304.56/9,456.48 = 2,409.36/x
  3. Step 3: Cross multiply
    6,304.56x = 9,456.48 × 2,409.36
  4. Step 4: Simplify right side
    6,304.56x = 22,784,064.65
  5. Step 5: Solve for x
    x = 22,784,064.65/6,304.56
  6. Step 6: Final answer
    x = 3,613.90

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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.