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Finding the Fourth Proportional to 6,721.28, 9,275.48 and 3,696.53

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Solution

The fourth proportional to 6,721.28, 9,275.48 and 3,696.53 is: 5,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.28 : 9,275.48 = 3,696.53 : x
  2. Step 2: Convert to fraction form
    6,721.28/9,275.48 = 3,696.53/x
  3. Step 3: Cross multiply
    6,721.28x = 9,275.48 × 3,696.53
  4. Step 4: Simplify right side
    6,721.28x = 34,287,090.08
  5. Step 5: Solve for x
    x = 34,287,090.08/6,721.28
  6. Step 6: Final answer
    x = 5,101.27

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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.