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Finding the Fourth Proportional to 6,785.85, 9,364.49 and 3,801.70

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Solution

The fourth proportional to 6,785.85, 9,364.49 and 3,801.70 is: 5,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.85 : 9,364.49 = 3,801.70 : x
  2. Step 2: Convert to fraction form
    6,785.85/9,364.49 = 3,801.70/x
  3. Step 3: Cross multiply
    6,785.85x = 9,364.49 × 3,801.70
  4. Step 4: Simplify right side
    6,785.85x = 35,600,981.63
  5. Step 5: Solve for x
    x = 35,600,981.63/6,785.85
  6. Step 6: Final answer
    x = 5,246.36

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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.