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Finding the Fourth Proportional to 6,818.70, 9,407.54 and 3,833.90

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Solution

The fourth proportional to 6,818.70, 9,407.54 and 3,833.90 is: 5,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.70 : 9,407.54 = 3,833.90 : x
  2. Step 2: Convert to fraction form
    6,818.70/9,407.54 = 3,833.90/x
  3. Step 3: Cross multiply
    6,818.70x = 9,407.54 × 3,833.90
  4. Step 4: Simplify right side
    6,818.70x = 36,067,567.61
  5. Step 5: Solve for x
    x = 36,067,567.61/6,818.70
  6. Step 6: Final answer
    x = 5,289.51

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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.