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Finding the Fourth Proportional to 6,969.26, 9,618.26 and 3,985.53

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Solution

The fourth proportional to 6,969.26, 9,618.26 and 3,985.53 is: 5,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.26 : 9,618.26 = 3,985.53 : x
  2. Step 2: Convert to fraction form
    6,969.26/9,618.26 = 3,985.53/x
  3. Step 3: Cross multiply
    6,969.26x = 9,618.26 × 3,985.53
  4. Step 4: Simplify right side
    6,969.26x = 38,333,843.85
  5. Step 5: Solve for x
    x = 38,333,843.85/6,969.26
  6. Step 6: Final answer
    x = 5,500.42

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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.