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Finding the Fourth Proportional to 6,650.43, 9,975.74 and 3,186.87

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Solution

The fourth proportional to 6,650.43, 9,975.74 and 3,186.87 is: 4,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.43 : 9,975.74 = 3,186.87 : x
  2. Step 2: Convert to fraction form
    6,650.43/9,975.74 = 3,186.87/x
  3. Step 3: Cross multiply
    6,650.43x = 9,975.74 × 3,186.87
  4. Step 4: Simplify right side
    6,650.43x = 31,791,370.60
  5. Step 5: Solve for x
    x = 31,791,370.60/6,650.43
  6. Step 6: Final answer
    x = 4,780.35

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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.