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Finding the Fourth Proportional to 6,543.70, 9,814.23 and 3,031.54

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Solution

The fourth proportional to 6,543.70, 9,814.23 and 3,031.54 is: 4,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.70 : 9,814.23 = 3,031.54 : x
  2. Step 2: Convert to fraction form
    6,543.70/9,814.23 = 3,031.54/x
  3. Step 3: Cross multiply
    6,543.70x = 9,814.23 × 3,031.54
  4. Step 4: Simplify right side
    6,543.70x = 29,752,230.81
  5. Step 5: Solve for x
    x = 29,752,230.81/6,543.70
  6. Step 6: Final answer
    x = 4,546.70

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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.