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Finding the Fourth Proportional to 6,215.60, 9,322.25 and 1,832.01

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Solution

The fourth proportional to 6,215.60, 9,322.25 and 1,832.01 is: 2,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.60 : 9,322.25 = 1,832.01 : x
  2. Step 2: Convert to fraction form
    6,215.60/9,322.25 = 1,832.01/x
  3. Step 3: Cross multiply
    6,215.60x = 9,322.25 × 1,832.01
  4. Step 4: Simplify right side
    6,215.60x = 17,078,446.06
  5. Step 5: Solve for x
    x = 17,078,446.06/6,215.60
  6. Step 6: Final answer
    x = 2,747.68

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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.