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Finding the Fourth Proportional to 6,733.32, 9,293.46 and 3,902.64

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Solution

The fourth proportional to 6,733.32, 9,293.46 and 3,902.64 is: 5,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.32 : 9,293.46 = 3,902.64 : x
  2. Step 2: Convert to fraction form
    6,733.32/9,293.46 = 3,902.64/x
  3. Step 3: Cross multiply
    6,733.32x = 9,293.46 × 3,902.64
  4. Step 4: Simplify right side
    6,733.32x = 36,269,028.73
  5. Step 5: Solve for x
    x = 36,269,028.73/6,733.32
  6. Step 6: Final answer
    x = 5,386.50

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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.