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Finding the Fourth Proportional to 9,891.57, 14,837.34 and 2,966.07

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Solution

The fourth proportional to 9,891.57, 14,837.34 and 2,966.07 is: 4,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.57 : 14,837.34 = 2,966.07 : x
  2. Step 2: Convert to fraction form
    9,891.57/14,837.34 = 2,966.07/x
  3. Step 3: Cross multiply
    9,891.57x = 14,837.34 × 2,966.07
  4. Step 4: Simplify right side
    9,891.57x = 44,008,589.05
  5. Step 5: Solve for x
    x = 44,008,589.05/9,891.57
  6. Step 6: Final answer
    x = 4,449.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.