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Finding the Fourth Proportional to 6,786.12, 9,364.98 and 3,801.93

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Solution

The fourth proportional to 6,786.12, 9,364.98 and 3,801.93 is: 5,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.12 : 9,364.98 = 3,801.93 : x
  2. Step 2: Convert to fraction form
    6,786.12/9,364.98 = 3,801.93/x
  3. Step 3: Cross multiply
    6,786.12x = 9,364.98 × 3,801.93
  4. Step 4: Simplify right side
    6,786.12x = 35,604,998.41
  5. Step 5: Solve for x
    x = 35,604,998.41/6,786.12
  6. Step 6: Final answer
    x = 5,246.74

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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.