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Finding the Fourth Proportional to 9,057.96, 13,582.62 and 3,861

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Solution

The fourth proportional to 9,057.96, 13,582.62 and 3,861 is: 5,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.96 : 13,582.62 = 3,861 : x
  2. Step 2: Convert to fraction form
    9,057.96/13,582.62 = 3,861/x
  3. Step 3: Cross multiply
    9,057.96x = 13,582.62 × 3,861
  4. Step 4: Simplify right side
    9,057.96x = 52,442,495.82
  5. Step 5: Solve for x
    x = 52,442,495.82/9,057.96
  6. Step 6: Final answer
    x = 5,789.66

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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.