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Finding the Fourth Proportional to 9,814.79, 14,722.11 and 3,971.31

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Solution

The fourth proportional to 9,814.79, 14,722.11 and 3,971.31 is: 5,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.79 : 14,722.11 = 3,971.31 : x
  2. Step 2: Convert to fraction form
    9,814.79/14,722.11 = 3,971.31/x
  3. Step 3: Cross multiply
    9,814.79x = 14,722.11 × 3,971.31
  4. Step 4: Simplify right side
    9,814.79x = 58,466,062.66
  5. Step 5: Solve for x
    x = 58,466,062.66/9,814.79
  6. Step 6: Final answer
    x = 5,956.94

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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.