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Finding the Fourth Proportional to 8,922.25, 13,385.42 and 3,078.84

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Solution

The fourth proportional to 8,922.25, 13,385.42 and 3,078.84 is: 4,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.25 : 13,385.42 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    8,922.25/13,385.42 = 3,078.84/x
  3. Step 3: Cross multiply
    8,922.25x = 13,385.42 × 3,078.84
  4. Step 4: Simplify right side
    8,922.25x = 41,211,612.86
  5. Step 5: Solve for x
    x = 41,211,612.86/8,922.25
  6. Step 6: Final answer
    x = 4,618.97

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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.