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Finding the Fourth Proportional to 6,202.98, 9,294.75 and 5,274.72

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Solution

The fourth proportional to 6,202.98, 9,294.75 and 5,274.72 is: 7,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.98 : 9,294.75 = 5,274.72 : x
  2. Step 2: Convert to fraction form
    6,202.98/9,294.75 = 5,274.72/x
  3. Step 3: Cross multiply
    6,202.98x = 9,294.75 × 5,274.72
  4. Step 4: Simplify right side
    6,202.98x = 49,027,203.72
  5. Step 5: Solve for x
    x = 49,027,203.72/6,202.98
  6. Step 6: Final answer
    x = 7,903.81

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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.