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Finding the Fourth Proportional to 8,693.84, 13,023.84 and 5,763.44

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Solution

The fourth proportional to 8,693.84, 13,023.84 and 5,763.44 is: 8,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.84 : 13,023.84 = 5,763.44 : x
  2. Step 2: Convert to fraction form
    8,693.84/13,023.84 = 5,763.44/x
  3. Step 3: Cross multiply
    8,693.84x = 13,023.84 × 5,763.44
  4. Step 4: Simplify right side
    8,693.84x = 75,062,120.41
  5. Step 5: Solve for x
    x = 75,062,120.41/8,693.84
  6. Step 6: Final answer
    x = 8,633.94

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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.