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Finding the Fourth Proportional to 6,224.07, 9,338.82 and 2,064.63

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Solution

The fourth proportional to 6,224.07, 9,338.82 and 2,064.63 is: 3,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.07 : 9,338.82 = 2,064.63 : x
  2. Step 2: Convert to fraction form
    6,224.07/9,338.82 = 2,064.63/x
  3. Step 3: Cross multiply
    6,224.07x = 9,338.82 × 2,064.63
  4. Step 4: Simplify right side
    6,224.07x = 19,281,207.94
  5. Step 5: Solve for x
    x = 19,281,207.94/6,224.07
  6. Step 6: Final answer
    x = 3,097.85

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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.