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Finding the Fourth Proportional to 9,802.20, 13,525.70 and 5,821.86

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Solution

The fourth proportional to 9,802.20, 13,525.70 and 5,821.86 is: 8,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.20 : 13,525.70 = 5,821.86 : x
  2. Step 2: Convert to fraction form
    9,802.20/13,525.70 = 5,821.86/x
  3. Step 3: Cross multiply
    9,802.20x = 13,525.70 × 5,821.86
  4. Step 4: Simplify right side
    9,802.20x = 78,744,731.80
  5. Step 5: Solve for x
    x = 78,744,731.80/9,802.20
  6. Step 6: Final answer
    x = 8,033.37

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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.