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Finding the Fourth Proportional to 9,108, 13,665.24 and 4,494.24

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Solution

The fourth proportional to 9,108, 13,665.24 and 4,494.24 is: 6,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108 : 13,665.24 = 4,494.24 : x
  2. Step 2: Convert to fraction form
    9,108/13,665.24 = 4,494.24/x
  3. Step 3: Cross multiply
    9,108x = 13,665.24 × 4,494.24
  4. Step 4: Simplify right side
    9,108x = 61,414,868.22
  5. Step 5: Solve for x
    x = 61,414,868.22/9,108
  6. Step 6: Final answer
    x = 6,742.96

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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.