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Finding the Fourth Proportional to 6,269.56, 9,406.26 and 2,572.07

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Solution

The fourth proportional to 6,269.56, 9,406.26 and 2,572.07 is: 3,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.56 : 9,406.26 = 2,572.07 : x
  2. Step 2: Convert to fraction form
    6,269.56/9,406.26 = 2,572.07/x
  3. Step 3: Cross multiply
    6,269.56x = 9,406.26 × 2,572.07
  4. Step 4: Simplify right side
    6,269.56x = 24,193,512.13
  5. Step 5: Solve for x
    x = 24,193,512.13/6,269.56
  6. Step 6: Final answer
    x = 3,858.89

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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.