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Finding the Fourth Proportional to 6,138.93, 9,220.70 and 4,755.35

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Solution

The fourth proportional to 6,138.93, 9,220.70 and 4,755.35 is: 7,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.93 : 9,220.70 = 4,755.35 : x
  2. Step 2: Convert to fraction form
    6,138.93/9,220.70 = 4,755.35/x
  3. Step 3: Cross multiply
    6,138.93x = 9,220.70 × 4,755.35
  4. Step 4: Simplify right side
    6,138.93x = 43,847,655.02
  5. Step 5: Solve for x
    x = 43,847,655.02/6,138.93
  6. Step 6: Final answer
    x = 7,142.56

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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.