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Finding the Fourth Proportional to 9,027.42, 12,458.12 and 5,049.24

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Solution

The fourth proportional to 9,027.42, 12,458.12 and 5,049.24 is: 6,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.42 : 12,458.12 = 5,049.24 : x
  2. Step 2: Convert to fraction form
    9,027.42/12,458.12 = 5,049.24/x
  3. Step 3: Cross multiply
    9,027.42x = 12,458.12 × 5,049.24
  4. Step 4: Simplify right side
    9,027.42x = 62,904,012.58
  5. Step 5: Solve for x
    x = 62,904,012.58/9,027.42
  6. Step 6: Final answer
    x = 6,968.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.