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Finding the Fourth Proportional to 6,192.34, 9,284.18 and 2,295.70

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Solution

The fourth proportional to 6,192.34, 9,284.18 and 2,295.70 is: 3,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.34 : 9,284.18 = 2,295.70 : x
  2. Step 2: Convert to fraction form
    6,192.34/9,284.18 = 2,295.70/x
  3. Step 3: Cross multiply
    6,192.34x = 9,284.18 × 2,295.70
  4. Step 4: Simplify right side
    6,192.34x = 21,313,645.61
  5. Step 5: Solve for x
    x = 21,313,645.61/6,192.34
  6. Step 6: Final answer
    x = 3,441.94

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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.