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Finding the Fourth Proportional to 9,767.46, 13,479.09 and 5,291.25

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Solution

The fourth proportional to 9,767.46, 13,479.09 and 5,291.25 is: 7,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.46 : 13,479.09 = 5,291.25 : x
  2. Step 2: Convert to fraction form
    9,767.46/13,479.09 = 5,291.25/x
  3. Step 3: Cross multiply
    9,767.46x = 13,479.09 × 5,291.25
  4. Step 4: Simplify right side
    9,767.46x = 71,321,234.96
  5. Step 5: Solve for x
    x = 71,321,234.96/9,767.46
  6. Step 6: Final answer
    x = 7,301.92

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