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Finding the Fourth Proportional to 6,703.83, 9,249.26 and 3,870.86

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Solution

The fourth proportional to 6,703.83, 9,249.26 and 3,870.86 is: 5,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.83 : 9,249.26 = 3,870.86 : x
  2. Step 2: Convert to fraction form
    6,703.83/9,249.26 = 3,870.86/x
  3. Step 3: Cross multiply
    6,703.83x = 9,249.26 × 3,870.86
  4. Step 4: Simplify right side
    6,703.83x = 35,802,524.96
  5. Step 5: Solve for x
    x = 35,802,524.96/6,703.83
  6. Step 6: Final answer
    x = 5,340.61

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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.