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Finding the Fourth Proportional to 9,474.92, 14,218.86 and 4,861.16

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Solution

The fourth proportional to 9,474.92, 14,218.86 and 4,861.16 is: 7,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.92 : 14,218.86 = 4,861.16 : x
  2. Step 2: Convert to fraction form
    9,474.92/14,218.86 = 4,861.16/x
  3. Step 3: Cross multiply
    9,474.92x = 14,218.86 × 4,861.16
  4. Step 4: Simplify right side
    9,474.92x = 69,120,153.48
  5. Step 5: Solve for x
    x = 69,120,153.48/9,474.92
  6. Step 6: Final answer
    x = 7,295.06

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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.