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Finding the Fourth Proportional to 6,785.93, 9,364.48 and 3,801.76

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Solution

The fourth proportional to 6,785.93, 9,364.48 and 3,801.76 is: 5,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.93 : 9,364.48 = 3,801.76 : x
  2. Step 2: Convert to fraction form
    6,785.93/9,364.48 = 3,801.76/x
  3. Step 3: Cross multiply
    6,785.93x = 9,364.48 × 3,801.76
  4. Step 4: Simplify right side
    6,785.93x = 35,601,472.57
  5. Step 5: Solve for x
    x = 35,601,472.57/6,785.93
  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.