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Finding the Fourth Proportional to 6,183.56, 9,275.72 and 2,024.01

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Solution

The fourth proportional to 6,183.56, 9,275.72 and 2,024.01 is: 3,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.56 : 9,275.72 = 2,024.01 : x
  2. Step 2: Convert to fraction form
    6,183.56/9,275.72 = 2,024.01/x
  3. Step 3: Cross multiply
    6,183.56x = 9,275.72 × 2,024.01
  4. Step 4: Simplify right side
    6,183.56x = 18,774,139.92
  5. Step 5: Solve for x
    x = 18,774,139.92/6,183.56
  6. Step 6: Final answer
    x = 3,036.14

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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.