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Finding the Fourth Proportional to 12,291, 16,961.70 and 6,702.12

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Solution

The fourth proportional to 12,291, 16,961.70 and 6,702.12 is: 9,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291 : 16,961.70 = 6,702.12 : x
  2. Step 2: Convert to fraction form
    12,291/16,961.70 = 6,702.12/x
  3. Step 3: Cross multiply
    12,291x = 16,961.70 × 6,702.12
  4. Step 4: Simplify right side
    12,291x = 113,679,348.80
  5. Step 5: Solve for x
    x = 113,679,348.80/12,291
  6. Step 6: Final answer
    x = 9,248.99

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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.