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Finding the Fourth Proportional to 6,920.34, 9,549.78 and 3,935.76

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Solution

The fourth proportional to 6,920.34, 9,549.78 and 3,935.76 is: 5,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.34 : 9,549.78 = 3,935.76 : x
  2. Step 2: Convert to fraction form
    6,920.34/9,549.78 = 3,935.76/x
  3. Step 3: Cross multiply
    6,920.34x = 9,549.78 × 3,935.76
  4. Step 4: Simplify right side
    6,920.34x = 37,585,642.13
  5. Step 5: Solve for x
    x = 37,585,642.13/6,920.34
  6. Step 6: Final answer
    x = 5,431.18

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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.