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Finding the Fourth Proportional to 6,213.77, 9,320.65 and 4,260.05

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Solution

The fourth proportional to 6,213.77, 9,320.65 and 4,260.05 is: 6,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.77 : 9,320.65 = 4,260.05 : x
  2. Step 2: Convert to fraction form
    6,213.77/9,320.65 = 4,260.05/x
  3. Step 3: Cross multiply
    6,213.77x = 9,320.65 × 4,260.05
  4. Step 4: Simplify right side
    6,213.77x = 39,706,435.03
  5. Step 5: Solve for x
    x = 39,706,435.03/6,213.77
  6. Step 6: Final answer
    x = 6,390.07

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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.