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Finding the Fourth Proportional to 9,959.14, 14,930.07 and 5,846.50

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Solution

The fourth proportional to 9,959.14, 14,930.07 and 5,846.50 is: 8,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.14 : 14,930.07 = 5,846.50 : x
  2. Step 2: Convert to fraction form
    9,959.14/14,930.07 = 5,846.50/x
  3. Step 3: Cross multiply
    9,959.14x = 14,930.07 × 5,846.50
  4. Step 4: Simplify right side
    9,959.14x = 87,288,654.26
  5. Step 5: Solve for x
    x = 87,288,654.26/9,959.14
  6. Step 6: Final answer
    x = 8,764.68

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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.