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Finding the Fourth Proportional to 6,406.38, 9,610.47 and 2,706.30

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Solution

The fourth proportional to 6,406.38, 9,610.47 and 2,706.30 is: 4,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.38 : 9,610.47 = 2,706.30 : x
  2. Step 2: Convert to fraction form
    6,406.38/9,610.47 = 2,706.30/x
  3. Step 3: Cross multiply
    6,406.38x = 9,610.47 × 2,706.30
  4. Step 4: Simplify right side
    6,406.38x = 26,008,814.96
  5. Step 5: Solve for x
    x = 26,008,814.96/6,406.38
  6. Step 6: Final answer
    x = 4,059.83

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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.