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Finding the Fourth Proportional to 6,334.32, 9,505.56 and 3,414.66

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Solution

The fourth proportional to 6,334.32, 9,505.56 and 3,414.66 is: 5,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.32 : 9,505.56 = 3,414.66 : x
  2. Step 2: Convert to fraction form
    6,334.32/9,505.56 = 3,414.66/x
  3. Step 3: Cross multiply
    6,334.32x = 9,505.56 × 3,414.66
  4. Step 4: Simplify right side
    6,334.32x = 32,458,255.51
  5. Step 5: Solve for x
    x = 32,458,255.51/6,334.32
  6. Step 6: Final answer
    x = 5,124.19

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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.