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Finding the Fourth Proportional to 9,820.80, 13,551.20 and 5,841.84

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Solution

The fourth proportional to 9,820.80, 13,551.20 and 5,841.84 is: 8,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.80 : 13,551.20 = 5,841.84 : x
  2. Step 2: Convert to fraction form
    9,820.80/13,551.20 = 5,841.84/x
  3. Step 3: Cross multiply
    9,820.80x = 13,551.20 × 5,841.84
  4. Step 4: Simplify right side
    9,820.80x = 79,163,942.21
  5. Step 5: Solve for x
    x = 79,163,942.21/9,820.80
  6. Step 6: Final answer
    x = 8,060.84

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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.