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Finding the Fourth Proportional to 6,499.68, 9,747.66 and 2,117.52

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Solution

The fourth proportional to 6,499.68, 9,747.66 and 2,117.52 is: 3,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.68 : 9,747.66 = 2,117.52 : x
  2. Step 2: Convert to fraction form
    6,499.68/9,747.66 = 2,117.52/x
  3. Step 3: Cross multiply
    6,499.68x = 9,747.66 × 2,117.52
  4. Step 4: Simplify right side
    6,499.68x = 20,640,865.00
  5. Step 5: Solve for x
    x = 20,640,865.00/6,499.68
  6. Step 6: Final answer
    x = 3,175.67

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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.