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Finding the Fourth Proportional to 9,894.20, 14,841.74 and 5,508.36

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Solution

The fourth proportional to 9,894.20, 14,841.74 and 5,508.36 is: 8,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.20 : 14,841.74 = 5,508.36 : x
  2. Step 2: Convert to fraction form
    9,894.20/14,841.74 = 5,508.36/x
  3. Step 3: Cross multiply
    9,894.20x = 14,841.74 × 5,508.36
  4. Step 4: Simplify right side
    9,894.20x = 81,753,646.95
  5. Step 5: Solve for x
    x = 81,753,646.95/9,894.20
  6. Step 6: Final answer
    x = 8,262.78

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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.