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Finding the Fourth Proportional to 12,632.64, 17,433.06 and 6,967.26

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Solution

The fourth proportional to 12,632.64, 17,433.06 and 6,967.26 is: 9,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.64 : 17,433.06 = 6,967.26 : x
  2. Step 2: Convert to fraction form
    12,632.64/17,433.06 = 6,967.26/x
  3. Step 3: Cross multiply
    12,632.64x = 17,433.06 × 6,967.26
  4. Step 4: Simplify right side
    12,632.64x = 121,460,661.62
  5. Step 5: Solve for x
    x = 121,460,661.62/12,632.64
  6. Step 6: Final answer
    x = 9,614.83

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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.