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Finding the Fourth Proportional to 6,269.73, 9,406.22 and 3,347.25

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Solution

The fourth proportional to 6,269.73, 9,406.22 and 3,347.25 is: 5,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.73 : 9,406.22 = 3,347.25 : x
  2. Step 2: Convert to fraction form
    6,269.73/9,406.22 = 3,347.25/x
  3. Step 3: Cross multiply
    6,269.73x = 9,406.22 × 3,347.25
  4. Step 4: Simplify right side
    6,269.73x = 31,484,953.16
  5. Step 5: Solve for x
    x = 31,484,953.16/6,269.73
  6. Step 6: Final answer
    x = 5,021.74

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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.