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Finding the Fourth Proportional to 6,718.57, 9,270.92 and 3,733.93

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Solution

The fourth proportional to 6,718.57, 9,270.92 and 3,733.93 is: 5,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.57 : 9,270.92 = 3,733.93 : x
  2. Step 2: Convert to fraction form
    6,718.57/9,270.92 = 3,733.93/x
  3. Step 3: Cross multiply
    6,718.57x = 9,270.92 × 3,733.93
  4. Step 4: Simplify right side
    6,718.57x = 34,616,901.29
  5. Step 5: Solve for x
    x = 34,616,901.29/6,718.57
  6. Step 6: Final answer
    x = 5,152.42

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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.