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Finding the Fourth Proportional to 9,801.77, 13,521.92 and 5,820.62

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Solution

The fourth proportional to 9,801.77, 13,521.92 and 5,820.62 is: 8,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.77 : 13,521.92 = 5,820.62 : x
  2. Step 2: Convert to fraction form
    9,801.77/13,521.92 = 5,820.62/x
  3. Step 3: Cross multiply
    9,801.77x = 13,521.92 × 5,820.62
  4. Step 4: Simplify right side
    9,801.77x = 78,705,861.28
  5. Step 5: Solve for x
    x = 78,705,861.28/9,801.77
  6. Step 6: Final answer
    x = 8,029.76

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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.