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Finding the Fourth Proportional to 6,995.71, 9,654.24 and 3,809.20

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Solution

The fourth proportional to 6,995.71, 9,654.24 and 3,809.20 is: 5,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.71 : 9,654.24 = 3,809.20 : x
  2. Step 2: Convert to fraction form
    6,995.71/9,654.24 = 3,809.20/x
  3. Step 3: Cross multiply
    6,995.71x = 9,654.24 × 3,809.20
  4. Step 4: Simplify right side
    6,995.71x = 36,774,931.01
  5. Step 5: Solve for x
    x = 36,774,931.01/6,995.71
  6. Step 6: Final answer
    x = 5,256.78

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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.