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Finding the Fourth Proportional to 7,202.18, 9,942.93 and 4,976.03

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Solution

The fourth proportional to 7,202.18, 9,942.93 and 4,976.03 is: 6,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.18 : 9,942.93 = 4,976.03 : x
  2. Step 2: Convert to fraction form
    7,202.18/9,942.93 = 4,976.03/x
  3. Step 3: Cross multiply
    7,202.18x = 9,942.93 × 4,976.03
  4. Step 4: Simplify right side
    7,202.18x = 49,476,342.83
  5. Step 5: Solve for x
    x = 49,476,342.83/7,202.18
  6. Step 6: Final answer
    x = 6,869.63

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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.