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Finding the Fourth Proportional to 9,606.44, 14,409.62 and 3,767.16

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Solution

The fourth proportional to 9,606.44, 14,409.62 and 3,767.16 is: 5,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.44 : 14,409.62 = 3,767.16 : x
  2. Step 2: Convert to fraction form
    9,606.44/14,409.62 = 3,767.16/x
  3. Step 3: Cross multiply
    9,606.44x = 14,409.62 × 3,767.16
  4. Step 4: Simplify right side
    9,606.44x = 54,283,344.08
  5. Step 5: Solve for x
    x = 54,283,344.08/9,606.44
  6. Step 6: Final answer
    x = 5,650.72

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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.