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Finding the Fourth Proportional to 6,343.46, 9,516.36 and 2,184.08

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Solution

The fourth proportional to 6,343.46, 9,516.36 and 2,184.08 is: 3,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.46 : 9,516.36 = 2,184.08 : x
  2. Step 2: Convert to fraction form
    6,343.46/9,516.36 = 2,184.08/x
  3. Step 3: Cross multiply
    6,343.46x = 9,516.36 × 2,184.08
  4. Step 4: Simplify right side
    6,343.46x = 20,784,491.55
  5. Step 5: Solve for x
    x = 20,784,491.55/6,343.46
  6. Step 6: Final answer
    x = 3,276.52

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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.