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Finding the Fourth Proportional to 6,696.11, 9,994.31 and 5,802.65

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Solution

The fourth proportional to 6,696.11, 9,994.31 and 5,802.65 is: 8,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.11 : 9,994.31 = 5,802.65 : x
  2. Step 2: Convert to fraction form
    6,696.11/9,994.31 = 5,802.65/x
  3. Step 3: Cross multiply
    6,696.11x = 9,994.31 × 5,802.65
  4. Step 4: Simplify right side
    6,696.11x = 57,993,403.94
  5. Step 5: Solve for x
    x = 57,993,403.94/6,696.11
  6. Step 6: Final answer
    x = 8,660.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.