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Finding the Fourth Proportional to 5,814.67, 8,713.73 and 4,327.15

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Solution

The fourth proportional to 5,814.67, 8,713.73 and 4,327.15 is: 6,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.67 : 8,713.73 = 4,327.15 : x
  2. Step 2: Convert to fraction form
    5,814.67/8,713.73 = 4,327.15/x
  3. Step 3: Cross multiply
    5,814.67x = 8,713.73 × 4,327.15
  4. Step 4: Simplify right side
    5,814.67x = 37,705,595.13
  5. Step 5: Solve for x
    x = 37,705,595.13/5,814.67
  6. Step 6: Final answer
    x = 6,484.56

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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.