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Finding the Fourth Proportional to 6,344.09, 9,516.95 and 2,184.74

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Solution

The fourth proportional to 6,344.09, 9,516.95 and 2,184.74 is: 3,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.09 : 9,516.95 = 2,184.74 : x
  2. Step 2: Convert to fraction form
    6,344.09/9,516.95 = 2,184.74/x
  3. Step 3: Cross multiply
    6,344.09x = 9,516.95 × 2,184.74
  4. Step 4: Simplify right side
    6,344.09x = 20,792,002.83
  5. Step 5: Solve for x
    x = 20,792,002.83/6,344.09
  6. Step 6: Final answer
    x = 3,277.38

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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.