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Finding the Fourth Proportional to 9,042.12, 13,562.64 and 2,468.52

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Solution

The fourth proportional to 9,042.12, 13,562.64 and 2,468.52 is: 3,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.12 : 13,562.64 = 2,468.52 : x
  2. Step 2: Convert to fraction form
    9,042.12/13,562.64 = 2,468.52/x
  3. Step 3: Cross multiply
    9,042.12x = 13,562.64 × 2,468.52
  4. Step 4: Simplify right side
    9,042.12x = 33,479,648.09
  5. Step 5: Solve for x
    x = 33,479,648.09/9,042.12
  6. Step 6: Final answer
    x = 3,702.63

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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.