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Finding the Fourth Proportional to 9,872.20, 13,618.02 and 5,679.64

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Solution

The fourth proportional to 9,872.20, 13,618.02 and 5,679.64 is: 7,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.20 : 13,618.02 = 5,679.64 : x
  2. Step 2: Convert to fraction form
    9,872.20/13,618.02 = 5,679.64/x
  3. Step 3: Cross multiply
    9,872.20x = 13,618.02 × 5,679.64
  4. Step 4: Simplify right side
    9,872.20x = 77,345,451.11
  5. Step 5: Solve for x
    x = 77,345,451.11/9,872.20
  6. Step 6: Final answer
    x = 7,834.67

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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.