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Finding the Fourth Proportional to 9,658.34, 14,449.39 and 7,324.93

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Solution

The fourth proportional to 9,658.34, 14,449.39 and 7,324.93 is: 10,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.34 : 14,449.39 = 7,324.93 : x
  2. Step 2: Convert to fraction form
    9,658.34/14,449.39 = 7,324.93/x
  3. Step 3: Cross multiply
    9,658.34x = 14,449.39 × 7,324.93
  4. Step 4: Simplify right side
    9,658.34x = 105,840,770.04
  5. Step 5: Solve for x
    x = 105,840,770.04/9,658.34
  6. Step 6: Final answer
    x = 10,958.49

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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.