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Finding the Fourth Proportional to 6,177.57, 8,467.85 and 6,094.50

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Solution

The fourth proportional to 6,177.57, 8,467.85 and 6,094.50 is: 8,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.57 : 8,467.85 = 6,094.50 : x
  2. Step 2: Convert to fraction form
    6,177.57/8,467.85 = 6,094.50/x
  3. Step 3: Cross multiply
    6,177.57x = 8,467.85 × 6,094.50
  4. Step 4: Simplify right side
    6,177.57x = 51,607,311.83
  5. Step 5: Solve for x
    x = 51,607,311.83/6,177.57
  6. Step 6: Final answer
    x = 8,353.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.