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Finding the Fourth Proportional to 6,178.33, 9,267.72 and 1,795.82

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Solution

The fourth proportional to 6,178.33, 9,267.72 and 1,795.82 is: 2,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.33 : 9,267.72 = 1,795.82 : x
  2. Step 2: Convert to fraction form
    6,178.33/9,267.72 = 1,795.82/x
  3. Step 3: Cross multiply
    6,178.33x = 9,267.72 × 1,795.82
  4. Step 4: Simplify right side
    6,178.33x = 16,643,156.93
  5. Step 5: Solve for x
    x = 16,643,156.93/6,178.33
  6. Step 6: Final answer
    x = 2,693.80

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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.