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Finding the Fourth Proportional to 6,444.42, 9,668.43 and 3,325.56

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Solution

The fourth proportional to 6,444.42, 9,668.43 and 3,325.56 is: 4,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.42 : 9,668.43 = 3,325.56 : x
  2. Step 2: Convert to fraction form
    6,444.42/9,668.43 = 3,325.56/x
  3. Step 3: Cross multiply
    6,444.42x = 9,668.43 × 3,325.56
  4. Step 4: Simplify right side
    6,444.42x = 32,152,944.07
  5. Step 5: Solve for x
    x = 32,152,944.07/6,444.42
  6. Step 6: Final answer
    x = 4,989.27

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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.