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Finding the Fourth Proportional to 9,889.57, 14,834.34 and 2,964.07

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Solution

The fourth proportional to 9,889.57, 14,834.34 and 2,964.07 is: 4,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.57 : 14,834.34 = 2,964.07 : x
  2. Step 2: Convert to fraction form
    9,889.57/14,834.34 = 2,964.07/x
  3. Step 3: Cross multiply
    9,889.57x = 14,834.34 × 2,964.07
  4. Step 4: Simplify right side
    9,889.57x = 43,970,022.16
  5. Step 5: Solve for x
    x = 43,970,022.16/9,889.57
  6. Step 6: Final answer
    x = 4,446.10

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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.