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Finding the Fourth Proportional to 12,293.43, 16,963.68 and 6,987.21

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Solution

The fourth proportional to 12,293.43, 16,963.68 and 6,987.21 is: 9,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.43 : 16,963.68 = 6,987.21 : x
  2. Step 2: Convert to fraction form
    12,293.43/16,963.68 = 6,987.21/x
  3. Step 3: Cross multiply
    12,293.43x = 16,963.68 × 6,987.21
  4. Step 4: Simplify right side
    12,293.43x = 118,528,794.53
  5. Step 5: Solve for x
    x = 118,528,794.53/12,293.43
  6. Step 6: Final answer
    x = 9,641.64

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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.