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Finding the Fourth Proportional to 6,694.35, 9,233.00 and 4,571.58

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Solution

The fourth proportional to 6,694.35, 9,233.00 and 4,571.58 is: 6,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.35 : 9,233.00 = 4,571.58 : x
  2. Step 2: Convert to fraction form
    6,694.35/9,233.00 = 4,571.58/x
  3. Step 3: Cross multiply
    6,694.35x = 9,233.00 × 4,571.58
  4. Step 4: Simplify right side
    6,694.35x = 42,209,427.05
  5. Step 5: Solve for x
    x = 42,209,427.05/6,694.35
  6. Step 6: Final answer
    x = 6,305.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.