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Finding the Fourth Proportional to 6,192.94, 9,284.63 and 5,370.09

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Solution

The fourth proportional to 6,192.94, 9,284.63 and 5,370.09 is: 8,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.94 : 9,284.63 = 5,370.09 : x
  2. Step 2: Convert to fraction form
    6,192.94/9,284.63 = 5,370.09/x
  3. Step 3: Cross multiply
    6,192.94x = 9,284.63 × 5,370.09
  4. Step 4: Simplify right side
    6,192.94x = 49,859,298.72
  5. Step 5: Solve for x
    x = 49,859,298.72/6,192.94
  6. Step 6: Final answer
    x = 8,050.99

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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.