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Finding the Fourth Proportional to 6,202.45, 9,292.78 and 5,169.07

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Solution

The fourth proportional to 6,202.45, 9,292.78 and 5,169.07 is: 7,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.45 : 9,292.78 = 5,169.07 : x
  2. Step 2: Convert to fraction form
    6,202.45/9,292.78 = 5,169.07/x
  3. Step 3: Cross multiply
    6,202.45x = 9,292.78 × 5,169.07
  4. Step 4: Simplify right side
    6,202.45x = 48,035,030.31
  5. Step 5: Solve for x
    x = 48,035,030.31/6,202.45
  6. Step 6: Final answer
    x = 7,744.53

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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.