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Finding the Fourth Proportional to 9,856, 14,771.04 and 4,861.12

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Solution

The fourth proportional to 9,856, 14,771.04 and 4,861.12 is: 7,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 14,771.04 = 4,861.12 : x
  2. Step 2: Convert to fraction form
    9,856/14,771.04 = 4,861.12/x
  3. Step 3: Cross multiply
    9,856x = 14,771.04 × 4,861.12
  4. Step 4: Simplify right side
    9,856x = 71,803,797.96
  5. Step 5: Solve for x
    x = 71,803,797.96/9,856
  6. Step 6: Final answer
    x = 7,285.29

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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.