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Finding the Fourth Proportional to 6,178.77, 9,257.37 and 5,145.42

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Solution

The fourth proportional to 6,178.77, 9,257.37 and 5,145.42 is: 7,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.77 : 9,257.37 = 5,145.42 : x
  2. Step 2: Convert to fraction form
    6,178.77/9,257.37 = 5,145.42/x
  3. Step 3: Cross multiply
    6,178.77x = 9,257.37 × 5,145.42
  4. Step 4: Simplify right side
    6,178.77x = 47,633,056.75
  5. Step 5: Solve for x
    x = 47,633,056.75/6,178.77
  6. Step 6: Final answer
    x = 7,709.15

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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.