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Finding the Fourth Proportional to 9,460, 14,171.52 and 7,257.94

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Solution

The fourth proportional to 9,460, 14,171.52 and 7,257.94 is: 10,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460 : 14,171.52 = 7,257.94 : x
  2. Step 2: Convert to fraction form
    9,460/14,171.52 = 7,257.94/x
  3. Step 3: Cross multiply
    9,460x = 14,171.52 × 7,257.94
  4. Step 4: Simplify right side
    9,460x = 102,856,041.87
  5. Step 5: Solve for x
    x = 102,856,041.87/9,460
  6. Step 6: Final answer
    x = 10,872.73

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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.