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Finding the Fourth Proportional to 12,641.26, 17,444.66 and 6,975.79

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Solution

The fourth proportional to 12,641.26, 17,444.66 and 6,975.79 is: 9,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.26 : 17,444.66 = 6,975.79 : x
  2. Step 2: Convert to fraction form
    12,641.26/17,444.66 = 6,975.79/x
  3. Step 3: Cross multiply
    12,641.26x = 17,444.66 × 6,975.79
  4. Step 4: Simplify right side
    12,641.26x = 121,690,284.78
  5. Step 5: Solve for x
    x = 121,690,284.78/12,641.26
  6. Step 6: Final answer
    x = 9,626.44

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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.