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Finding the Fourth Proportional to 9,046.16, 12,483.82 and 5,067.24

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Solution

The fourth proportional to 9,046.16, 12,483.82 and 5,067.24 is: 6,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.16 : 12,483.82 = 5,067.24 : x
  2. Step 2: Convert to fraction form
    9,046.16/12,483.82 = 5,067.24/x
  3. Step 3: Cross multiply
    9,046.16x = 12,483.82 × 5,067.24
  4. Step 4: Simplify right side
    9,046.16x = 63,258,512.06
  5. Step 5: Solve for x
    x = 63,258,512.06/9,046.16
  6. Step 6: Final answer
    x = 6,992.86

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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.