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Finding the Fourth Proportional to 6,500.06, 9,750.03 and 3,378.45

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Solution

The fourth proportional to 6,500.06, 9,750.03 and 3,378.45 is: 5,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.06 : 9,750.03 = 3,378.45 : x
  2. Step 2: Convert to fraction form
    6,500.06/9,750.03 = 3,378.45/x
  3. Step 3: Cross multiply
    6,500.06x = 9,750.03 × 3,378.45
  4. Step 4: Simplify right side
    6,500.06x = 32,939,988.85
  5. Step 5: Solve for x
    x = 32,939,988.85/6,500.06
  6. Step 6: Final answer
    x = 5,067.65

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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.