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Finding the Fourth Proportional to 9,021.87, 12,447.27 and 5,042.34

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Solution

The fourth proportional to 9,021.87, 12,447.27 and 5,042.34 is: 6,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.87 : 12,447.27 = 5,042.34 : x
  2. Step 2: Convert to fraction form
    9,021.87/12,447.27 = 5,042.34/x
  3. Step 3: Cross multiply
    9,021.87x = 12,447.27 × 5,042.34
  4. Step 4: Simplify right side
    9,021.87x = 62,763,367.41
  5. Step 5: Solve for x
    x = 62,763,367.41/9,021.87
  6. Step 6: Final answer
    x = 6,956.80

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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.