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Finding the Fourth Proportional to 6,665.54, 9,199.92 and 4,277.42

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Solution

The fourth proportional to 6,665.54, 9,199.92 and 4,277.42 is: 5,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.54 : 9,199.92 = 4,277.42 : x
  2. Step 2: Convert to fraction form
    6,665.54/9,199.92 = 4,277.42/x
  3. Step 3: Cross multiply
    6,665.54x = 9,199.92 × 4,277.42
  4. Step 4: Simplify right side
    6,665.54x = 39,351,921.81
  5. Step 5: Solve for x
    x = 39,351,921.81/6,665.54
  6. Step 6: Final answer
    x = 5,903.79

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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.