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Finding the Fourth Proportional to 9,512.64, 14,268.90 and 5,641.56

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Solution

The fourth proportional to 9,512.64, 14,268.90 and 5,641.56 is: 8,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.64 : 14,268.90 = 5,641.56 : x
  2. Step 2: Convert to fraction form
    9,512.64/14,268.90 = 5,641.56/x
  3. Step 3: Cross multiply
    9,512.64x = 14,268.90 × 5,641.56
  4. Step 4: Simplify right side
    9,512.64x = 80,498,855.48
  5. Step 5: Solve for x
    x = 80,498,855.48/9,512.64
  6. Step 6: Final answer
    x = 8,462.30

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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.