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Finding the Fourth Proportional to 6,105.51, 9,149.90 and 3,177.77

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Solution

The fourth proportional to 6,105.51, 9,149.90 and 3,177.77 is: 4,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.51 : 9,149.90 = 3,177.77 : x
  2. Step 2: Convert to fraction form
    6,105.51/9,149.90 = 3,177.77/x
  3. Step 3: Cross multiply
    6,105.51x = 9,149.90 × 3,177.77
  4. Step 4: Simplify right side
    6,105.51x = 29,076,216.08
  5. Step 5: Solve for x
    x = 29,076,216.08/6,105.51
  6. Step 6: Final answer
    x = 4,762.29

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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.