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Finding the Fourth Proportional to 6,803.88, 9,388.63 and 3,820.04

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Solution

The fourth proportional to 6,803.88, 9,388.63 and 3,820.04 is: 5,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.88 : 9,388.63 = 3,820.04 : x
  2. Step 2: Convert to fraction form
    6,803.88/9,388.63 = 3,820.04/x
  3. Step 3: Cross multiply
    6,803.88x = 9,388.63 × 3,820.04
  4. Step 4: Simplify right side
    6,803.88x = 35,864,942.15
  5. Step 5: Solve for x
    x = 35,864,942.15/6,803.88
  6. Step 6: Final answer
    x = 5,271.25

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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.