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Finding the Fourth Proportional to 6,785.25, 9,362.88 and 3,953.22

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Solution

The fourth proportional to 6,785.25, 9,362.88 and 3,953.22 is: 5,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.25 : 9,362.88 = 3,953.22 : x
  2. Step 2: Convert to fraction form
    6,785.25/9,362.88 = 3,953.22/x
  3. Step 3: Cross multiply
    6,785.25x = 9,362.88 × 3,953.22
  4. Step 4: Simplify right side
    6,785.25x = 37,013,524.47
  5. Step 5: Solve for x
    x = 37,013,524.47/6,785.25
  6. Step 6: Final answer
    x = 5,455.00

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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.