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Finding the Fourth Proportional to 9,894.25, 14,841.83 and 5,508.41

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Solution

The fourth proportional to 9,894.25, 14,841.83 and 5,508.41 is: 8,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.25 : 14,841.83 = 5,508.41 : x
  2. Step 2: Convert to fraction form
    9,894.25/14,841.83 = 5,508.41/x
  3. Step 3: Cross multiply
    9,894.25x = 14,841.83 × 5,508.41
  4. Step 4: Simplify right side
    9,894.25x = 81,754,824.35
  5. Step 5: Solve for x
    x = 81,754,824.35/9,894.25
  6. Step 6: Final answer
    x = 8,262.86

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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.