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Finding the Fourth Proportional to 9,900.22, 13,657.11 and 6,122.18

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Solution

The fourth proportional to 9,900.22, 13,657.11 and 6,122.18 is: 8,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.22 : 13,657.11 = 6,122.18 : x
  2. Step 2: Convert to fraction form
    9,900.22/13,657.11 = 6,122.18/x
  3. Step 3: Cross multiply
    9,900.22x = 13,657.11 × 6,122.18
  4. Step 4: Simplify right side
    9,900.22x = 83,611,217.41
  5. Step 5: Solve for x
    x = 83,611,217.41/9,900.22
  6. Step 6: Final answer
    x = 8,445.39

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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.