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Finding the Fourth Proportional to 9,042.96, 13,559.46 and 2,801.24

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Solution

The fourth proportional to 9,042.96, 13,559.46 and 2,801.24 is: 4,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.96 : 13,559.46 = 2,801.24 : x
  2. Step 2: Convert to fraction form
    9,042.96/13,559.46 = 2,801.24/x
  3. Step 3: Cross multiply
    9,042.96x = 13,559.46 × 2,801.24
  4. Step 4: Simplify right side
    9,042.96x = 37,983,301.73
  5. Step 5: Solve for x
    x = 37,983,301.73/9,042.96
  6. Step 6: Final answer
    x = 4,200.32

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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.