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Finding the Fourth Proportional to 6,731.44, 9,287.96 and 4,246

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Solution

The fourth proportional to 6,731.44, 9,287.96 and 4,246 is: 5,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.44 : 9,287.96 = 4,246 : x
  2. Step 2: Convert to fraction form
    6,731.44/9,287.96 = 4,246/x
  3. Step 3: Cross multiply
    6,731.44x = 9,287.96 × 4,246
  4. Step 4: Simplify right side
    6,731.44x = 39,436,678.16
  5. Step 5: Solve for x
    x = 39,436,678.16/6,731.44
  6. Step 6: Final answer
    x = 5,858.58

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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.