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Finding the Fourth Proportional to 6,459.82, 8,917.23 and 4,366.78

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Solution

The fourth proportional to 6,459.82, 8,917.23 and 4,366.78 is: 6,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.82 : 8,917.23 = 4,366.78 : x
  2. Step 2: Convert to fraction form
    6,459.82/8,917.23 = 4,366.78/x
  3. Step 3: Cross multiply
    6,459.82x = 8,917.23 × 4,366.78
  4. Step 4: Simplify right side
    6,459.82x = 38,939,581.62
  5. Step 5: Solve for x
    x = 38,939,581.62/6,459.82
  6. Step 6: Final answer
    x = 6,027.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.