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Finding the Fourth Proportional to 9,658.72, 14,494.58 and 3,418.71

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Solution

The fourth proportional to 9,658.72, 14,494.58 and 3,418.71 is: 5,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.72 : 14,494.58 = 3,418.71 : x
  2. Step 2: Convert to fraction form
    9,658.72/14,494.58 = 3,418.71/x
  3. Step 3: Cross multiply
    9,658.72x = 14,494.58 × 3,418.71
  4. Step 4: Simplify right side
    9,658.72x = 49,552,748.50
  5. Step 5: Solve for x
    x = 49,552,748.50/9,658.72
  6. Step 6: Final answer
    x = 5,130.37

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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.