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Finding the Fourth Proportional to 12,641.68, 17,445.37 and 6,976.47

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Solution

The fourth proportional to 12,641.68, 17,445.37 and 6,976.47 is: 9,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.68 : 17,445.37 = 6,976.47 : x
  2. Step 2: Convert to fraction form
    12,641.68/17,445.37 = 6,976.47/x
  3. Step 3: Cross multiply
    12,641.68x = 17,445.37 × 6,976.47
  4. Step 4: Simplify right side
    12,641.68x = 121,707,100.44
  5. Step 5: Solve for x
    x = 121,707,100.44/12,641.68
  6. Step 6: Final answer
    x = 9,627.45

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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.