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Finding the Fourth Proportional to 6,306.17, 8,698.34 and 3,944.21

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Solution

The fourth proportional to 6,306.17, 8,698.34 and 3,944.21 is: 5,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.17 : 8,698.34 = 3,944.21 : x
  2. Step 2: Convert to fraction form
    6,306.17/8,698.34 = 3,944.21/x
  3. Step 3: Cross multiply
    6,306.17x = 8,698.34 × 3,944.21
  4. Step 4: Simplify right side
    6,306.17x = 34,308,036.12
  5. Step 5: Solve for x
    x = 34,308,036.12/6,306.17
  6. Step 6: Final answer
    x = 5,440.40

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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.