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Finding the Fourth Proportional to 6,969.31, 9,616.21 and 4,136.29

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Solution

The fourth proportional to 6,969.31, 9,616.21 and 4,136.29 is: 5,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.31 : 9,616.21 = 4,136.29 : x
  2. Step 2: Convert to fraction form
    6,969.31/9,616.21 = 4,136.29/x
  3. Step 3: Cross multiply
    6,969.31x = 9,616.21 × 4,136.29
  4. Step 4: Simplify right side
    6,969.31x = 39,775,409.22
  5. Step 5: Solve for x
    x = 39,775,409.22/6,969.31
  6. Step 6: Final answer
    x = 5,707.22

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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.