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Finding the Fourth Proportional to 8,924.67, 13,385.10 and 5,633.37

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Solution

The fourth proportional to 8,924.67, 13,385.10 and 5,633.37 is: 8,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.67 : 13,385.10 = 5,633.37 : x
  2. Step 2: Convert to fraction form
    8,924.67/13,385.10 = 5,633.37/x
  3. Step 3: Cross multiply
    8,924.67x = 13,385.10 × 5,633.37
  4. Step 4: Simplify right side
    8,924.67x = 75,403,220.79
  5. Step 5: Solve for x
    x = 75,403,220.79/8,924.67
  6. Step 6: Final answer
    x = 8,448.85

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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.