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Finding the Fourth Proportional to 9,269.76, 13,900.80 and 3,431.04

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Solution

The fourth proportional to 9,269.76, 13,900.80 and 3,431.04 is: 5,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.76 : 13,900.80 = 3,431.04 : x
  2. Step 2: Convert to fraction form
    9,269.76/13,900.80 = 3,431.04/x
  3. Step 3: Cross multiply
    9,269.76x = 13,900.80 × 3,431.04
  4. Step 4: Simplify right side
    9,269.76x = 47,694,200.83
  5. Step 5: Solve for x
    x = 47,694,200.83/9,269.76
  6. Step 6: Final answer
    x = 5,145.14

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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.