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Finding the Fourth Proportional to 6,157.29, 9,235.86 and 4,178.02

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Solution

The fourth proportional to 6,157.29, 9,235.86 and 4,178.02 is: 6,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.29 : 9,235.86 = 4,178.02 : x
  2. Step 2: Convert to fraction form
    6,157.29/9,235.86 = 4,178.02/x
  3. Step 3: Cross multiply
    6,157.29x = 9,235.86 × 4,178.02
  4. Step 4: Simplify right side
    6,157.29x = 38,587,561.62
  5. Step 5: Solve for x
    x = 38,587,561.62/6,157.29
  6. Step 6: Final answer
    x = 6,266.97

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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.