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Finding the Fourth Proportional to 9,611, 13,263.18 and 5,195

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Solution

The fourth proportional to 9,611, 13,263.18 and 5,195 is: 7,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611 : 13,263.18 = 5,195 : x
  2. Step 2: Convert to fraction form
    9,611/13,263.18 = 5,195/x
  3. Step 3: Cross multiply
    9,611x = 13,263.18 × 5,195
  4. Step 4: Simplify right side
    9,611x = 68,902,220.10
  5. Step 5: Solve for x
    x = 68,902,220.10/9,611
  6. Step 6: Final answer
    x = 7,169.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.