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Finding the Fourth Proportional to 9,814.68, 14,722.74 and 3,971.16

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Solution

The fourth proportional to 9,814.68, 14,722.74 and 3,971.16 is: 5,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.68 : 14,722.74 = 3,971.16 : x
  2. Step 2: Convert to fraction form
    9,814.68/14,722.74 = 3,971.16/x
  3. Step 3: Cross multiply
    9,814.68x = 14,722.74 × 3,971.16
  4. Step 4: Simplify right side
    9,814.68x = 58,466,356.18
  5. Step 5: Solve for x
    x = 58,466,356.18/9,814.68
  6. Step 6: Final answer
    x = 5,957.03

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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.