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Finding the Fourth Proportional to 9,425.57, 14,138.21 and 2,309.88

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Solution

The fourth proportional to 9,425.57, 14,138.21 and 2,309.88 is: 3,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.57 : 14,138.21 = 2,309.88 : x
  2. Step 2: Convert to fraction form
    9,425.57/14,138.21 = 2,309.88/x
  3. Step 3: Cross multiply
    9,425.57x = 14,138.21 × 2,309.88
  4. Step 4: Simplify right side
    9,425.57x = 32,657,574.29
  5. Step 5: Solve for x
    x = 32,657,574.29/9,425.57
  6. Step 6: Final answer
    x = 3,464.78

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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.