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Finding the Fourth Proportional to 6,727.14, 9,283.76 and 5,606.20

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Solution

The fourth proportional to 6,727.14, 9,283.76 and 5,606.20 is: 7,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.14 : 9,283.76 = 5,606.20 : x
  2. Step 2: Convert to fraction form
    6,727.14/9,283.76 = 5,606.20/x
  3. Step 3: Cross multiply
    6,727.14x = 9,283.76 × 5,606.20
  4. Step 4: Simplify right side
    6,727.14x = 52,046,564.07
  5. Step 5: Solve for x
    x = 52,046,564.07/6,727.14
  6. Step 6: Final answer
    x = 7,736.80

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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.