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Finding the Fourth Proportional to 9,182.43, 13,773.96 and 4,801.14

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Solution

The fourth proportional to 9,182.43, 13,773.96 and 4,801.14 is: 7,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.43 : 13,773.96 = 4,801.14 : x
  2. Step 2: Convert to fraction form
    9,182.43/13,773.96 = 4,801.14/x
  3. Step 3: Cross multiply
    9,182.43x = 13,773.96 × 4,801.14
  4. Step 4: Simplify right side
    9,182.43x = 66,130,710.31
  5. Step 5: Solve for x
    x = 66,130,710.31/9,182.43
  6. Step 6: Final answer
    x = 7,201.87

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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.