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Finding the Fourth Proportional to 9,174.34, 13,767 and 3,980.22

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Solution

The fourth proportional to 9,174.34, 13,767 and 3,980.22 is: 5,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.34 : 13,767 = 3,980.22 : x
  2. Step 2: Convert to fraction form
    9,174.34/13,767 = 3,980.22/x
  3. Step 3: Cross multiply
    9,174.34x = 13,767 × 3,980.22
  4. Step 4: Simplify right side
    9,174.34x = 54,795,688.74
  5. Step 5: Solve for x
    x = 54,795,688.74/9,174.34
  6. Step 6: Final answer
    x = 5,972.71

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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.