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Finding the Fourth Proportional to 6,739.50, 9,300.51 and 3,945

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Solution

The fourth proportional to 6,739.50, 9,300.51 and 3,945 is: 5,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.50 : 9,300.51 = 3,945 : x
  2. Step 2: Convert to fraction form
    6,739.50/9,300.51 = 3,945/x
  3. Step 3: Cross multiply
    6,739.50x = 9,300.51 × 3,945
  4. Step 4: Simplify right side
    6,739.50x = 36,690,511.95
  5. Step 5: Solve for x
    x = 36,690,511.95/6,739.50
  6. Step 6: Final answer
    x = 5,444.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.