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Finding the Fourth Proportional to 6,406.64, 9,610.36 and 2,708.38

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Solution

The fourth proportional to 6,406.64, 9,610.36 and 2,708.38 is: 4,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.64 : 9,610.36 = 2,708.38 : x
  2. Step 2: Convert to fraction form
    6,406.64/9,610.36 = 2,708.38/x
  3. Step 3: Cross multiply
    6,406.64x = 9,610.36 × 2,708.38
  4. Step 4: Simplify right side
    6,406.64x = 26,028,476.02
  5. Step 5: Solve for x
    x = 26,028,476.02/6,406.64
  6. Step 6: Final answer
    x = 4,062.74

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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.