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Finding the Fourth Proportional to 6,680.29, 9,218.95 and 3,696.34

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Solution

The fourth proportional to 6,680.29, 9,218.95 and 3,696.34 is: 5,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.29 : 9,218.95 = 3,696.34 : x
  2. Step 2: Convert to fraction form
    6,680.29/9,218.95 = 3,696.34/x
  3. Step 3: Cross multiply
    6,680.29x = 9,218.95 × 3,696.34
  4. Step 4: Simplify right side
    6,680.29x = 34,076,309.07
  5. Step 5: Solve for x
    x = 34,076,309.07/6,680.29
  6. Step 6: Final answer
    x = 5,101.02

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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.