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Finding the Fourth Proportional to 6,958.18, 9,602.22 and 3,814.36

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Solution

The fourth proportional to 6,958.18, 9,602.22 and 3,814.36 is: 5,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.18 : 9,602.22 = 3,814.36 : x
  2. Step 2: Convert to fraction form
    6,958.18/9,602.22 = 3,814.36/x
  3. Step 3: Cross multiply
    6,958.18x = 9,602.22 × 3,814.36
  4. Step 4: Simplify right side
    6,958.18x = 36,626,323.88
  5. Step 5: Solve for x
    x = 36,626,323.88/6,958.18
  6. Step 6: Final answer
    x = 5,263.78

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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.