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Finding the Fourth Proportional to 6,246.88, 9,364.40 and 2,140

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Solution

The fourth proportional to 6,246.88, 9,364.40 and 2,140 is: 3,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.88 : 9,364.40 = 2,140 : x
  2. Step 2: Convert to fraction form
    6,246.88/9,364.40 = 2,140/x
  3. Step 3: Cross multiply
    6,246.88x = 9,364.40 × 2,140
  4. Step 4: Simplify right side
    6,246.88x = 20,039,816
  5. Step 5: Solve for x
    x = 20,039,816/6,246.88
  6. Step 6: Final answer
    x = 3,207.97

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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.