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Finding the Fourth Proportional to 6,260.40, 9,389.99 and 1,643.40

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Solution

The fourth proportional to 6,260.40, 9,389.99 and 1,643.40 is: 2,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.40 : 9,389.99 = 1,643.40 : x
  2. Step 2: Convert to fraction form
    6,260.40/9,389.99 = 1,643.40/x
  3. Step 3: Cross multiply
    6,260.40x = 9,389.99 × 1,643.40
  4. Step 4: Simplify right side
    6,260.40x = 15,431,477.87
  5. Step 5: Solve for x
    x = 15,431,477.87/6,260.40
  6. Step 6: Final answer
    x = 2,464.94

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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.