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Finding the Fourth Proportional to 6,201.80, 9,307.58 and 5,472.84

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Solution

The fourth proportional to 6,201.80, 9,307.58 and 5,472.84 is: 8,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.80 : 9,307.58 = 5,472.84 : x
  2. Step 2: Convert to fraction form
    6,201.80/9,307.58 = 5,472.84/x
  3. Step 3: Cross multiply
    6,201.80x = 9,307.58 × 5,472.84
  4. Step 4: Simplify right side
    6,201.80x = 50,938,896.13
  5. Step 5: Solve for x
    x = 50,938,896.13/6,201.80
  6. Step 6: Final answer
    x = 8,213.57

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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.