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Finding the Fourth Proportional to 8,922.29, 13,384.35 and 3,077.54

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Solution

The fourth proportional to 8,922.29, 13,384.35 and 3,077.54 is: 4,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.29 : 13,384.35 = 3,077.54 : x
  2. Step 2: Convert to fraction form
    8,922.29/13,384.35 = 3,077.54/x
  3. Step 3: Cross multiply
    8,922.29x = 13,384.35 × 3,077.54
  4. Step 4: Simplify right side
    8,922.29x = 41,190,872.50
  5. Step 5: Solve for x
    x = 41,190,872.50/8,922.29
  6. Step 6: Final answer
    x = 4,616.63

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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.