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Finding the Fourth Proportional to 9,899.72, 13,659.36 and 5,920.16

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Solution

The fourth proportional to 9,899.72, 13,659.36 and 5,920.16 is: 8,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.72 : 13,659.36 = 5,920.16 : x
  2. Step 2: Convert to fraction form
    9,899.72/13,659.36 = 5,920.16/x
  3. Step 3: Cross multiply
    9,899.72x = 13,659.36 × 5,920.16
  4. Step 4: Simplify right side
    9,899.72x = 80,865,596.70
  5. Step 5: Solve for x
    x = 80,865,596.70/9,899.72
  6. Step 6: Final answer
    x = 8,168.47

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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.