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Finding the Fourth Proportional to 9,175, 13,760.34 and 2,933.32

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Solution

The fourth proportional to 9,175, 13,760.34 and 2,933.32 is: 4,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175 : 13,760.34 = 2,933.32 : x
  2. Step 2: Convert to fraction form
    9,175/13,760.34 = 2,933.32/x
  3. Step 3: Cross multiply
    9,175x = 13,760.34 × 2,933.32
  4. Step 4: Simplify right side
    9,175x = 40,363,480.53
  5. Step 5: Solve for x
    x = 40,363,480.53/9,175
  6. Step 6: Final answer
    x = 4,399.29

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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.