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Finding the Fourth Proportional to 9,175.32, 13,768.44 and 3,331.17

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Solution

The fourth proportional to 9,175.32, 13,768.44 and 3,331.17 is: 4,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.32 : 13,768.44 = 3,331.17 : x
  2. Step 2: Convert to fraction form
    9,175.32/13,768.44 = 3,331.17/x
  3. Step 3: Cross multiply
    9,175.32x = 13,768.44 × 3,331.17
  4. Step 4: Simplify right side
    9,175.32x = 45,865,014.27
  5. Step 5: Solve for x
    x = 45,865,014.27/9,175.32
  6. Step 6: Final answer
    x = 4,998.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.