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Finding the Fourth Proportional to 6,669.57, 9,203.75 and 3,685.34

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Solution

The fourth proportional to 6,669.57, 9,203.75 and 3,685.34 is: 5,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.57 : 9,203.75 = 3,685.34 : x
  2. Step 2: Convert to fraction form
    6,669.57/9,203.75 = 3,685.34/x
  3. Step 3: Cross multiply
    6,669.57x = 9,203.75 × 3,685.34
  4. Step 4: Simplify right side
    6,669.57x = 33,918,902.01
  5. Step 5: Solve for x
    x = 33,918,902.01/6,669.57
  6. Step 6: Final answer
    x = 5,085.62

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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.