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Finding the Fourth Proportional to 9,974.90, 13,771.26 and 8,867.84

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Solution

The fourth proportional to 9,974.90, 13,771.26 and 8,867.84 is: 12,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.90 : 13,771.26 = 8,867.84 : x
  2. Step 2: Convert to fraction form
    9,974.90/13,771.26 = 8,867.84/x
  3. Step 3: Cross multiply
    9,974.90x = 13,771.26 × 8,867.84
  4. Step 4: Simplify right side
    9,974.90x = 122,121,261.42
  5. Step 5: Solve for x
    x = 122,121,261.42/9,974.90
  6. Step 6: Final answer
    x = 12,242.86

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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.