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Finding the Fourth Proportional to 6,324.89, 9,474.64 and 5,808.17

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Solution

The fourth proportional to 6,324.89, 9,474.64 and 5,808.17 is: 8,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.89 : 9,474.64 = 5,808.17 : x
  2. Step 2: Convert to fraction form
    6,324.89/9,474.64 = 5,808.17/x
  3. Step 3: Cross multiply
    6,324.89x = 9,474.64 × 5,808.17
  4. Step 4: Simplify right side
    6,324.89x = 55,030,328.97
  5. Step 5: Solve for x
    x = 55,030,328.97/6,324.89
  6. Step 6: Final answer
    x = 8,700.61

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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.