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Finding the Fourth Proportional to 9,757.63, 14,637.87 and 3,182.20

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Solution

The fourth proportional to 9,757.63, 14,637.87 and 3,182.20 is: 4,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.63 : 14,637.87 = 3,182.20 : x
  2. Step 2: Convert to fraction form
    9,757.63/14,637.87 = 3,182.20/x
  3. Step 3: Cross multiply
    9,757.63x = 14,637.87 × 3,182.20
  4. Step 4: Simplify right side
    9,757.63x = 46,580,629.91
  5. Step 5: Solve for x
    x = 46,580,629.91/9,757.63
  6. Step 6: Final answer
    x = 4,773.76

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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.