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Finding the Fourth Proportional to 6,785.68, 9,364.98 and 3,801.64

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Solution

The fourth proportional to 6,785.68, 9,364.98 and 3,801.64 is: 5,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.68 : 9,364.98 = 3,801.64 : x
  2. Step 2: Convert to fraction form
    6,785.68/9,364.98 = 3,801.64/x
  3. Step 3: Cross multiply
    6,785.68x = 9,364.98 × 3,801.64
  4. Step 4: Simplify right side
    6,785.68x = 35,602,282.57
  5. Step 5: Solve for x
    x = 35,602,282.57/6,785.68
  6. Step 6: Final answer
    x = 5,246.68

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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.