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Finding the Fourth Proportional to 6,581.37, 9,873.62 and 1,964.25

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Solution

The fourth proportional to 6,581.37, 9,873.62 and 1,964.25 is: 2,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.37 : 9,873.62 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    6,581.37/9,873.62 = 1,964.25/x
  3. Step 3: Cross multiply
    6,581.37x = 9,873.62 × 1,964.25
  4. Step 4: Simplify right side
    6,581.37x = 19,394,248.26
  5. Step 5: Solve for x
    x = 19,394,248.26/6,581.37
  6. Step 6: Final answer
    x = 2,946.84

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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.