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Finding the Fourth Proportional to 6,809.06, 9,396.61 and 4,156.11

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Solution

The fourth proportional to 6,809.06, 9,396.61 and 4,156.11 is: 5,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.06 : 9,396.61 = 4,156.11 : x
  2. Step 2: Convert to fraction form
    6,809.06/9,396.61 = 4,156.11/x
  3. Step 3: Cross multiply
    6,809.06x = 9,396.61 × 4,156.11
  4. Step 4: Simplify right side
    6,809.06x = 39,053,334.40
  5. Step 5: Solve for x
    x = 39,053,334.40/6,809.06
  6. Step 6: Final answer
    x = 5,735.49

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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.