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Finding the Fourth Proportional to 12,632.79, 17,432.28 and 6,967.75

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Solution

The fourth proportional to 12,632.79, 17,432.28 and 6,967.75 is: 9,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.79 : 17,432.28 = 6,967.75 : x
  2. Step 2: Convert to fraction form
    12,632.79/17,432.28 = 6,967.75/x
  3. Step 3: Cross multiply
    12,632.79x = 17,432.28 × 6,967.75
  4. Step 4: Simplify right side
    12,632.79x = 121,463,679.65
  5. Step 5: Solve for x
    x = 121,463,679.65/12,632.79
  6. Step 6: Final answer
    x = 9,614.96

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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.