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Finding the Fourth Proportional to 6,696.95, 9,236.16 and 4,307.31

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Solution

The fourth proportional to 6,696.95, 9,236.16 and 4,307.31 is: 5,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.95 : 9,236.16 = 4,307.31 : x
  2. Step 2: Convert to fraction form
    6,696.95/9,236.16 = 4,307.31/x
  3. Step 3: Cross multiply
    6,696.95x = 9,236.16 × 4,307.31
  4. Step 4: Simplify right side
    6,696.95x = 39,783,004.33
  5. Step 5: Solve for x
    x = 39,783,004.33/6,696.95
  6. Step 6: Final answer
    x = 5,940.47

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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.