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Finding the Fourth Proportional to 6,727.06, 9,283.08 and 3,743.02

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Solution

The fourth proportional to 6,727.06, 9,283.08 and 3,743.02 is: 5,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.06 : 9,283.08 = 3,743.02 : x
  2. Step 2: Convert to fraction form
    6,727.06/9,283.08 = 3,743.02/x
  3. Step 3: Cross multiply
    6,727.06x = 9,283.08 × 3,743.02
  4. Step 4: Simplify right side
    6,727.06x = 34,746,754.10
  5. Step 5: Solve for x
    x = 34,746,754.10/6,727.06
  6. Step 6: Final answer
    x = 5,165.22

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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.