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Finding the Fourth Proportional to 6,177.56, 9,269.74 and 4,069.16

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Solution

The fourth proportional to 6,177.56, 9,269.74 and 4,069.16 is: 6,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.56 : 9,269.74 = 4,069.16 : x
  2. Step 2: Convert to fraction form
    6,177.56/9,269.74 = 4,069.16/x
  3. Step 3: Cross multiply
    6,177.56x = 9,269.74 × 4,069.16
  4. Step 4: Simplify right side
    6,177.56x = 37,720,055.22
  5. Step 5: Solve for x
    x = 37,720,055.22/6,177.56
  6. Step 6: Final answer
    x = 6,105.98

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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.