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Finding the Fourth Proportional to 6,820.30, 9,411.36 and 3,836.08

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Solution

The fourth proportional to 6,820.30, 9,411.36 and 3,836.08 is: 5,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.30 : 9,411.36 = 3,836.08 : x
  2. Step 2: Convert to fraction form
    6,820.30/9,411.36 = 3,836.08/x
  3. Step 3: Cross multiply
    6,820.30x = 9,411.36 × 3,836.08
  4. Step 4: Simplify right side
    6,820.30x = 36,102,674.31
  5. Step 5: Solve for x
    x = 36,102,674.31/6,820.30
  6. Step 6: Final answer
    x = 5,293.41

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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.