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Finding the Fourth Proportional to 6,141.53, 9,211.53 and 2,808.81

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Solution

The fourth proportional to 6,141.53, 9,211.53 and 2,808.81 is: 4,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.53 : 9,211.53 = 2,808.81 : x
  2. Step 2: Convert to fraction form
    6,141.53/9,211.53 = 2,808.81/x
  3. Step 3: Cross multiply
    6,141.53x = 9,211.53 × 2,808.81
  4. Step 4: Simplify right side
    6,141.53x = 25,873,432.31
  5. Step 5: Solve for x
    x = 25,873,432.31/6,141.53
  6. Step 6: Final answer
    x = 4,212.86

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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.