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Finding the Fourth Proportional to 9,834, 14,760.72 and 5,217

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Solution

The fourth proportional to 9,834, 14,760.72 and 5,217 is: 7,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 14,760.72 = 5,217 : x
  2. Step 2: Convert to fraction form
    9,834/14,760.72 = 5,217/x
  3. Step 3: Cross multiply
    9,834x = 14,760.72 × 5,217
  4. Step 4: Simplify right side
    9,834x = 77,006,676.24
  5. Step 5: Solve for x
    x = 77,006,676.24/9,834
  6. Step 6: Final answer
    x = 7,830.66

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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.