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Finding the Fourth Proportional to 6,733.53, 9,294.75 and 4,218.48

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Solution

The fourth proportional to 6,733.53, 9,294.75 and 4,218.48 is: 5,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.53 : 9,294.75 = 4,218.48 : x
  2. Step 2: Convert to fraction form
    6,733.53/9,294.75 = 4,218.48/x
  3. Step 3: Cross multiply
    6,733.53x = 9,294.75 × 4,218.48
  4. Step 4: Simplify right side
    6,733.53x = 39,209,716.98
  5. Step 5: Solve for x
    x = 39,209,716.98/6,733.53
  6. Step 6: Final answer
    x = 5,823.06

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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.