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Finding the Fourth Proportional to 6,194.98, 9,295.17 and 2,907.82

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Solution

The fourth proportional to 6,194.98, 9,295.17 and 2,907.82 is: 4,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.98 : 9,295.17 = 2,907.82 : x
  2. Step 2: Convert to fraction form
    6,194.98/9,295.17 = 2,907.82/x
  3. Step 3: Cross multiply
    6,194.98x = 9,295.17 × 2,907.82
  4. Step 4: Simplify right side
    6,194.98x = 27,028,681.23
  5. Step 5: Solve for x
    x = 27,028,681.23/6,194.98
  6. Step 6: Final answer
    x = 4,363.00

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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.