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Finding the Fourth Proportional to 6,802.25, 10,206.27 and 3,842.91

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Solution

The fourth proportional to 6,802.25, 10,206.27 and 3,842.91 is: 5,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.25 : 10,206.27 = 3,842.91 : x
  2. Step 2: Convert to fraction form
    6,802.25/10,206.27 = 3,842.91/x
  3. Step 3: Cross multiply
    6,802.25x = 10,206.27 × 3,842.91
  4. Step 4: Simplify right side
    6,802.25x = 39,221,777.05
  5. Step 5: Solve for x
    x = 39,221,777.05/6,802.25
  6. Step 6: Final answer
    x = 5,766.00

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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.