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Finding the Fourth Proportional to 12,291.97, 16,962.37 and 6,986.71

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Solution

The fourth proportional to 12,291.97, 16,962.37 and 6,986.71 is: 9,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.97 : 16,962.37 = 6,986.71 : x
  2. Step 2: Convert to fraction form
    12,291.97/16,962.37 = 6,986.71/x
  3. Step 3: Cross multiply
    12,291.97x = 16,962.37 × 6,986.71
  4. Step 4: Simplify right side
    12,291.97x = 118,511,160.10
  5. Step 5: Solve for x
    x = 118,511,160.10/12,291.97
  6. Step 6: Final answer
    x = 9,641.35

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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.