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Finding the Fourth Proportional to 9,454.37, 14,179.03 and 5,743.76

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Solution

The fourth proportional to 9,454.37, 14,179.03 and 5,743.76 is: 8,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.37 : 14,179.03 = 5,743.76 : x
  2. Step 2: Convert to fraction form
    9,454.37/14,179.03 = 5,743.76/x
  3. Step 3: Cross multiply
    9,454.37x = 14,179.03 × 5,743.76
  4. Step 4: Simplify right side
    9,454.37x = 81,440,860.10
  5. Step 5: Solve for x
    x = 81,440,860.10/9,454.37
  6. Step 6: Final answer
    x = 8,614.10

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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.