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Finding the Fourth Proportional to 8,959.50, 13,436.91 and 3,409.85

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Solution

The fourth proportional to 8,959.50, 13,436.91 and 3,409.85 is: 5,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.50 : 13,436.91 = 3,409.85 : x
  2. Step 2: Convert to fraction form
    8,959.50/13,436.91 = 3,409.85/x
  3. Step 3: Cross multiply
    8,959.50x = 13,436.91 × 3,409.85
  4. Step 4: Simplify right side
    8,959.50x = 45,817,881.16
  5. Step 5: Solve for x
    x = 45,817,881.16/8,959.50
  6. Step 6: Final answer
    x = 5,113.89

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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.