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Finding the Fourth Proportional to 9,471.92, 14,208.44 and 2,898.56

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Solution

The fourth proportional to 9,471.92, 14,208.44 and 2,898.56 is: 4,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.92 : 14,208.44 = 2,898.56 : x
  2. Step 2: Convert to fraction form
    9,471.92/14,208.44 = 2,898.56/x
  3. Step 3: Cross multiply
    9,471.92x = 14,208.44 × 2,898.56
  4. Step 4: Simplify right side
    9,471.92x = 41,184,015.85
  5. Step 5: Solve for x
    x = 41,184,015.85/9,471.92
  6. Step 6: Final answer
    x = 4,348.01

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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.