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Finding the Fourth Proportional to 9,614.50, 14,410.71 and 4,409.44

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Solution

The fourth proportional to 9,614.50, 14,410.71 and 4,409.44 is: 6,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.50 : 14,410.71 = 4,409.44 : x
  2. Step 2: Convert to fraction form
    9,614.50/14,410.71 = 4,409.44/x
  3. Step 3: Cross multiply
    9,614.50x = 14,410.71 × 4,409.44
  4. Step 4: Simplify right side
    9,614.50x = 63,543,125.08
  5. Step 5: Solve for x
    x = 63,543,125.08/9,614.50
  6. Step 6: Final answer
    x = 6,609.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.