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Finding the Fourth Proportional to 6,421.38, 9,610.14 and 5,382.54

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Solution

The fourth proportional to 6,421.38, 9,610.14 and 5,382.54 is: 8,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.38 : 9,610.14 = 5,382.54 : x
  2. Step 2: Convert to fraction form
    6,421.38/9,610.14 = 5,382.54/x
  3. Step 3: Cross multiply
    6,421.38x = 9,610.14 × 5,382.54
  4. Step 4: Simplify right side
    6,421.38x = 51,726,962.96
  5. Step 5: Solve for x
    x = 51,726,962.96/6,421.38
  6. Step 6: Final answer
    x = 8,055.43

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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.