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Finding the Fourth Proportional to 6,305.66, 9,440.71 and 3,337.38

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Solution

The fourth proportional to 6,305.66, 9,440.71 and 3,337.38 is: 4,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.66 : 9,440.71 = 3,337.38 : x
  2. Step 2: Convert to fraction form
    6,305.66/9,440.71 = 3,337.38/x
  3. Step 3: Cross multiply
    6,305.66x = 9,440.71 × 3,337.38
  4. Step 4: Simplify right side
    6,305.66x = 31,507,236.74
  5. Step 5: Solve for x
    x = 31,507,236.74/6,305.66
  6. Step 6: Final answer
    x = 4,996.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.