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Finding the Fourth Proportional to 6,440.38, 9,658.64 and 2,056.66

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Solution

The fourth proportional to 6,440.38, 9,658.64 and 2,056.66 is: 3,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.38 : 9,658.64 = 2,056.66 : x
  2. Step 2: Convert to fraction form
    6,440.38/9,658.64 = 2,056.66/x
  3. Step 3: Cross multiply
    6,440.38x = 9,658.64 × 2,056.66
  4. Step 4: Simplify right side
    6,440.38x = 19,864,519.54
  5. Step 5: Solve for x
    x = 19,864,519.54/6,440.38
  6. Step 6: Final answer
    x = 3,084.37

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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.