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Finding the Fourth Proportional to 6,835.68, 9,433.35 and 3,851.28

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Solution

The fourth proportional to 6,835.68, 9,433.35 and 3,851.28 is: 5,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.68 : 9,433.35 = 3,851.28 : x
  2. Step 2: Convert to fraction form
    6,835.68/9,433.35 = 3,851.28/x
  3. Step 3: Cross multiply
    6,835.68x = 9,433.35 × 3,851.28
  4. Step 4: Simplify right side
    6,835.68x = 36,330,472.19
  5. Step 5: Solve for x
    x = 36,330,472.19/6,835.68
  6. Step 6: Final answer
    x = 5,314.83

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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.