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Finding the Fourth Proportional to 6,802.88, 9,391.49 and 5,287.05

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Solution

The fourth proportional to 6,802.88, 9,391.49 and 5,287.05 is: 7,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.88 : 9,391.49 = 5,287.05 : x
  2. Step 2: Convert to fraction form
    6,802.88/9,391.49 = 5,287.05/x
  3. Step 3: Cross multiply
    6,802.88x = 9,391.49 × 5,287.05
  4. Step 4: Simplify right side
    6,802.88x = 49,653,277.20
  5. Step 5: Solve for x
    x = 49,653,277.20/6,802.88
  6. Step 6: Final answer
    x = 7,298.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.