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Finding the Fourth Proportional to 6,820.08, 9,411.92 and 3,835.76

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Solution

The fourth proportional to 6,820.08, 9,411.92 and 3,835.76 is: 5,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.08 : 9,411.92 = 3,835.76 : x
  2. Step 2: Convert to fraction form
    6,820.08/9,411.92 = 3,835.76/x
  3. Step 3: Cross multiply
    6,820.08x = 9,411.92 × 3,835.76
  4. Step 4: Simplify right side
    6,820.08x = 36,101,866.26
  5. Step 5: Solve for x
    x = 36,101,866.26/6,820.08
  6. Step 6: Final answer
    x = 5,293.47

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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.