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Finding the Fourth Proportional to 6,473.28, 9,717.21 and 2,580.42

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Solution

The fourth proportional to 6,473.28, 9,717.21 and 2,580.42 is: 3,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.28 : 9,717.21 = 2,580.42 : x
  2. Step 2: Convert to fraction form
    6,473.28/9,717.21 = 2,580.42/x
  3. Step 3: Cross multiply
    6,473.28x = 9,717.21 × 2,580.42
  4. Step 4: Simplify right side
    6,473.28x = 25,074,483.03
  5. Step 5: Solve for x
    x = 25,074,483.03/6,473.28
  6. Step 6: Final answer
    x = 3,873.54

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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.