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Finding the Fourth Proportional to 9,231.42, 13,897.02 and 8,427.90

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Solution

The fourth proportional to 9,231.42, 13,897.02 and 8,427.90 is: 12,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.42 : 13,897.02 = 8,427.90 : x
  2. Step 2: Convert to fraction form
    9,231.42/13,897.02 = 8,427.90/x
  3. Step 3: Cross multiply
    9,231.42x = 13,897.02 × 8,427.90
  4. Step 4: Simplify right side
    9,231.42x = 117,122,694.86
  5. Step 5: Solve for x
    x = 117,122,694.86/9,231.42
  6. Step 6: Final answer
    x = 12,687.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.