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Finding the Fourth Proportional to 8,922.75, 13,384.22 and 3,656.41

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Solution

The fourth proportional to 8,922.75, 13,384.22 and 3,656.41 is: 5,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.75 : 13,384.22 = 3,656.41 : x
  2. Step 2: Convert to fraction form
    8,922.75/13,384.22 = 3,656.41/x
  3. Step 3: Cross multiply
    8,922.75x = 13,384.22 × 3,656.41
  4. Step 4: Simplify right side
    8,922.75x = 48,938,144.11
  5. Step 5: Solve for x
    x = 48,938,144.11/8,922.75
  6. Step 6: Final answer
    x = 5,484.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.