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Finding the Fourth Proportional to 12,291.17, 16,961.27 and 6,986.48

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Solution

The fourth proportional to 12,291.17, 16,961.27 and 6,986.48 is: 9,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.17 : 16,961.27 = 6,986.48 : x
  2. Step 2: Convert to fraction form
    12,291.17/16,961.27 = 6,986.48/x
  3. Step 3: Cross multiply
    12,291.17x = 16,961.27 × 6,986.48
  4. Step 4: Simplify right side
    12,291.17x = 118,499,453.89
  5. Step 5: Solve for x
    x = 118,499,453.89/12,291.17
  6. Step 6: Final answer
    x = 9,641.03

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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.