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Finding the Fourth Proportional to 8,967.31, 13,451.32 and 3,419.92

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Solution

The fourth proportional to 8,967.31, 13,451.32 and 3,419.92 is: 5,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.31 : 13,451.32 = 3,419.92 : x
  2. Step 2: Convert to fraction form
    8,967.31/13,451.32 = 3,419.92/x
  3. Step 3: Cross multiply
    8,967.31x = 13,451.32 × 3,419.92
  4. Step 4: Simplify right side
    8,967.31x = 46,002,440.15
  5. Step 5: Solve for x
    x = 46,002,440.15/8,967.31
  6. Step 6: Final answer
    x = 5,130.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.