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Finding the Fourth Proportional to 6,809.31, 9,396.95 and 4,156.29

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Solution

The fourth proportional to 6,809.31, 9,396.95 and 4,156.29 is: 5,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.31 : 9,396.95 = 4,156.29 : x
  2. Step 2: Convert to fraction form
    6,809.31/9,396.95 = 4,156.29/x
  3. Step 3: Cross multiply
    6,809.31x = 9,396.95 × 4,156.29
  4. Step 4: Simplify right side
    6,809.31x = 39,056,428.53
  5. Step 5: Solve for x
    x = 39,056,428.53/6,809.31
  6. Step 6: Final answer
    x = 5,735.74

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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.