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Finding the Fourth Proportional to 9,456.38, 13,040.13 and 6,268.57

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Solution

The fourth proportional to 9,456.38, 13,040.13 and 6,268.57 is: 8,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.38 : 13,040.13 = 6,268.57 : x
  2. Step 2: Convert to fraction form
    9,456.38/13,040.13 = 6,268.57/x
  3. Step 3: Cross multiply
    9,456.38x = 13,040.13 × 6,268.57
  4. Step 4: Simplify right side
    9,456.38x = 81,742,967.71
  5. Step 5: Solve for x
    x = 81,742,967.71/9,456.38
  6. Step 6: Final answer
    x = 8,644.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.