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Finding the Fourth Proportional to 9,889.68, 14,834.48 and 4,046.29

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Solution

The fourth proportional to 9,889.68, 14,834.48 and 4,046.29 is: 6,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.68 : 14,834.48 = 4,046.29 : x
  2. Step 2: Convert to fraction form
    9,889.68/14,834.48 = 4,046.29/x
  3. Step 3: Cross multiply
    9,889.68x = 14,834.48 × 4,046.29
  4. Step 4: Simplify right side
    9,889.68x = 60,024,581.11
  5. Step 5: Solve for x
    x = 60,024,581.11/9,889.68
  6. Step 6: Final answer
    x = 6,069.42

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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.