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Finding the Fourth Proportional to 9,027.63, 12,458.40 and 5,049.42

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Solution

The fourth proportional to 9,027.63, 12,458.40 and 5,049.42 is: 6,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.63 : 12,458.40 = 5,049.42 : x
  2. Step 2: Convert to fraction form
    9,027.63/12,458.40 = 5,049.42/x
  3. Step 3: Cross multiply
    9,027.63x = 12,458.40 × 5,049.42
  4. Step 4: Simplify right side
    9,027.63x = 62,907,694.13
  5. Step 5: Solve for x
    x = 62,907,694.13/9,027.63
  6. Step 6: Final answer
    x = 6,968.35

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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.