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Finding the Fourth Proportional to 9,986.90, 13,840.17 and 9,845.96

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Solution

The fourth proportional to 9,986.90, 13,840.17 and 9,845.96 is: 13,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.90 : 13,840.17 = 9,845.96 : x
  2. Step 2: Convert to fraction form
    9,986.90/13,840.17 = 9,845.96/x
  3. Step 3: Cross multiply
    9,986.90x = 13,840.17 × 9,845.96
  4. Step 4: Simplify right side
    9,986.90x = 136,269,691.01
  5. Step 5: Solve for x
    x = 136,269,691.01/9,986.90
  6. Step 6: Final answer
    x = 13,644.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.