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Finding the Fourth Proportional to 6,544.70, 9,813.76 and 3,031.69

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Solution

The fourth proportional to 6,544.70, 9,813.76 and 3,031.69 is: 4,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.70 : 9,813.76 = 3,031.69 : x
  2. Step 2: Convert to fraction form
    6,544.70/9,813.76 = 3,031.69/x
  3. Step 3: Cross multiply
    6,544.70x = 9,813.76 × 3,031.69
  4. Step 4: Simplify right side
    6,544.70x = 29,752,278.05
  5. Step 5: Solve for x
    x = 29,752,278.05/6,544.70
  6. Step 6: Final answer
    x = 4,546.01

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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.