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Finding the Fourth Proportional to 9,463.72, 14,190.86 and 5,516.32

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Solution

The fourth proportional to 9,463.72, 14,190.86 and 5,516.32 is: 8,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.72 : 14,190.86 = 5,516.32 : x
  2. Step 2: Convert to fraction form
    9,463.72/14,190.86 = 5,516.32/x
  3. Step 3: Cross multiply
    9,463.72x = 14,190.86 × 5,516.32
  4. Step 4: Simplify right side
    9,463.72x = 78,281,324.84
  5. Step 5: Solve for x
    x = 78,281,324.84/9,463.72
  6. Step 6: Final answer
    x = 8,271.73

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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.