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Finding the Fourth Proportional to 9,961.58, 13,747.52 and 5,986.10

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Solution

The fourth proportional to 9,961.58, 13,747.52 and 5,986.10 is: 8,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.58 : 13,747.52 = 5,986.10 : x
  2. Step 2: Convert to fraction form
    9,961.58/13,747.52 = 5,986.10/x
  3. Step 3: Cross multiply
    9,961.58x = 13,747.52 × 5,986.10
  4. Step 4: Simplify right side
    9,961.58x = 82,294,078.81
  5. Step 5: Solve for x
    x = 82,294,078.81/9,961.58
  6. Step 6: Final answer
    x = 8,261.15

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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.