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Finding the Fourth Proportional to 6,883.90, 9,499.78 and 3,740.10

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Solution

The fourth proportional to 6,883.90, 9,499.78 and 3,740.10 is: 5,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.90 : 9,499.78 = 3,740.10 : x
  2. Step 2: Convert to fraction form
    6,883.90/9,499.78 = 3,740.10/x
  3. Step 3: Cross multiply
    6,883.90x = 9,499.78 × 3,740.10
  4. Step 4: Simplify right side
    6,883.90x = 35,530,127.18
  5. Step 5: Solve for x
    x = 35,530,127.18/6,883.90
  6. Step 6: Final answer
    x = 5,161.34

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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.