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Finding the Fourth Proportional to 9,900.72, 13,657.80 and 6,122.67

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Solution

The fourth proportional to 9,900.72, 13,657.80 and 6,122.67 is: 8,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.72 : 13,657.80 = 6,122.67 : x
  2. Step 2: Convert to fraction form
    9,900.72/13,657.80 = 6,122.67/x
  3. Step 3: Cross multiply
    9,900.72x = 13,657.80 × 6,122.67
  4. Step 4: Simplify right side
    9,900.72x = 83,622,202.33
  5. Step 5: Solve for x
    x = 83,622,202.33/9,900.72
  6. Step 6: Final answer
    x = 8,446.07

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