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Finding the Fourth Proportional to 6,448.42, 9,666.96 and 2,555.56

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Solution

The fourth proportional to 6,448.42, 9,666.96 and 2,555.56 is: 3,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.42 : 9,666.96 = 2,555.56 : x
  2. Step 2: Convert to fraction form
    6,448.42/9,666.96 = 2,555.56/x
  3. Step 3: Cross multiply
    6,448.42x = 9,666.96 × 2,555.56
  4. Step 4: Simplify right side
    6,448.42x = 24,704,496.30
  5. Step 5: Solve for x
    x = 24,704,496.30/6,448.42
  6. Step 6: Final answer
    x = 3,831.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.