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Finding the Fourth Proportional to 9,581.44, 14,372.96 and 2,655.96

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Solution

The fourth proportional to 9,581.44, 14,372.96 and 2,655.96 is: 3,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.44 : 14,372.96 = 2,655.96 : x
  2. Step 2: Convert to fraction form
    9,581.44/14,372.96 = 2,655.96/x
  3. Step 3: Cross multiply
    9,581.44x = 14,372.96 × 2,655.96
  4. Step 4: Simplify right side
    9,581.44x = 38,174,006.84
  5. Step 5: Solve for x
    x = 38,174,006.84/9,581.44
  6. Step 6: Final answer
    x = 3,984.16

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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.