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Finding the Fourth Proportional to 8,981.71, 12,394.77 and 5,205.60

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Solution

The fourth proportional to 8,981.71, 12,394.77 and 5,205.60 is: 7,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.71 : 12,394.77 = 5,205.60 : x
  2. Step 2: Convert to fraction form
    8,981.71/12,394.77 = 5,205.60/x
  3. Step 3: Cross multiply
    8,981.71x = 12,394.77 × 5,205.60
  4. Step 4: Simplify right side
    8,981.71x = 64,522,214.71
  5. Step 5: Solve for x
    x = 64,522,214.71/8,981.71
  6. Step 6: Final answer
    x = 7,183.74

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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.