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Finding the Fourth Proportional to 6,718.23, 9,270.59 and 3,733.11

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Solution

The fourth proportional to 6,718.23, 9,270.59 and 3,733.11 is: 5,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.23 : 9,270.59 = 3,733.11 : x
  2. Step 2: Convert to fraction form
    6,718.23/9,270.59 = 3,733.11/x
  3. Step 3: Cross multiply
    6,718.23x = 9,270.59 × 3,733.11
  4. Step 4: Simplify right side
    6,718.23x = 34,608,113.57
  5. Step 5: Solve for x
    x = 34,608,113.57/6,718.23
  6. Step 6: Final answer
    x = 5,151.37

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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.