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Finding the Fourth Proportional to 6,257.44, 9,386.70 and 2,968.84

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Solution

The fourth proportional to 6,257.44, 9,386.70 and 2,968.84 is: 4,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.44 : 9,386.70 = 2,968.84 : x
  2. Step 2: Convert to fraction form
    6,257.44/9,386.70 = 2,968.84/x
  3. Step 3: Cross multiply
    6,257.44x = 9,386.70 × 2,968.84
  4. Step 4: Simplify right side
    6,257.44x = 27,867,610.43
  5. Step 5: Solve for x
    x = 27,867,610.43/6,257.44
  6. Step 6: Final answer
    x = 4,453.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.