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Finding the Fourth Proportional to 6,902.44, 10,333.68 and 6,190.18

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Solution

The fourth proportional to 6,902.44, 10,333.68 and 6,190.18 is: 9,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.44 : 10,333.68 = 6,190.18 : x
  2. Step 2: Convert to fraction form
    6,902.44/10,333.68 = 6,190.18/x
  3. Step 3: Cross multiply
    6,902.44x = 10,333.68 × 6,190.18
  4. Step 4: Simplify right side
    6,902.44x = 63,967,339.26
  5. Step 5: Solve for x
    x = 63,967,339.26/6,902.44
  6. Step 6: Final answer
    x = 9,267.35

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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.