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Finding the Fourth Proportional to 6,696.44, 9,237.24 and 4,177.34

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Solution

The fourth proportional to 6,696.44, 9,237.24 and 4,177.34 is: 5,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.44 : 9,237.24 = 4,177.34 : x
  2. Step 2: Convert to fraction form
    6,696.44/9,237.24 = 4,177.34/x
  3. Step 3: Cross multiply
    6,696.44x = 9,237.24 × 4,177.34
  4. Step 4: Simplify right side
    6,696.44x = 38,587,092.14
  5. Step 5: Solve for x
    x = 38,587,092.14/6,696.44
  6. Step 6: Final answer
    x = 5,762.33

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Why These Related Problems?

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