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Finding the Fourth Proportional to 6,444.48, 9,666.42 and 3,777.57

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Solution

The fourth proportional to 6,444.48, 9,666.42 and 3,777.57 is: 5,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.48 : 9,666.42 = 3,777.57 : x
  2. Step 2: Convert to fraction form
    6,444.48/9,666.42 = 3,777.57/x
  3. Step 3: Cross multiply
    6,444.48x = 9,666.42 × 3,777.57
  4. Step 4: Simplify right side
    6,444.48x = 36,515,578.20
  5. Step 5: Solve for x
    x = 36,515,578.20/6,444.48
  6. Step 6: Final answer
    x = 5,666.18

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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.