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Finding the Fourth Proportional to 6,809.71, 9,391.65 and 5,752.66

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Solution

The fourth proportional to 6,809.71, 9,391.65 and 5,752.66 is: 7,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.71 : 9,391.65 = 5,752.66 : x
  2. Step 2: Convert to fraction form
    6,809.71/9,391.65 = 5,752.66/x
  3. Step 3: Cross multiply
    6,809.71x = 9,391.65 × 5,752.66
  4. Step 4: Simplify right side
    6,809.71x = 54,026,969.29
  5. Step 5: Solve for x
    x = 54,026,969.29/6,809.71
  6. Step 6: Final answer
    x = 7,933.81

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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.