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Finding the Fourth Proportional to 6,696.94, 9,243.62 and 4,177.57

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Solution

The fourth proportional to 6,696.94, 9,243.62 and 4,177.57 is: 5,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.94 : 9,243.62 = 4,177.57 : x
  2. Step 2: Convert to fraction form
    6,696.94/9,243.62 = 4,177.57/x
  3. Step 3: Cross multiply
    6,696.94x = 9,243.62 × 4,177.57
  4. Step 4: Simplify right side
    6,696.94x = 38,615,802.50
  5. Step 5: Solve for x
    x = 38,615,802.50/6,696.94
  6. Step 6: Final answer
    x = 5,766.19

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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.