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Finding the Fourth Proportional to 9,042.54, 13,563.72 and 2,468.58

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Solution

The fourth proportional to 9,042.54, 13,563.72 and 2,468.58 is: 3,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.54 : 13,563.72 = 2,468.58 : x
  2. Step 2: Convert to fraction form
    9,042.54/13,563.72 = 2,468.58/x
  3. Step 3: Cross multiply
    9,042.54x = 13,563.72 × 2,468.58
  4. Step 4: Simplify right side
    9,042.54x = 33,483,127.92
  5. Step 5: Solve for x
    x = 33,483,127.92/9,042.54
  6. Step 6: Final answer
    x = 3,702.85

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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.