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Finding the Fourth Proportional to 9,810.68, 14,716.74 and 3,967.16

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Solution

The fourth proportional to 9,810.68, 14,716.74 and 3,967.16 is: 5,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.68 : 14,716.74 = 3,967.16 : x
  2. Step 2: Convert to fraction form
    9,810.68/14,716.74 = 3,967.16/x
  3. Step 3: Cross multiply
    9,810.68x = 14,716.74 × 3,967.16
  4. Step 4: Simplify right side
    9,810.68x = 58,383,662.26
  5. Step 5: Solve for x
    x = 58,383,662.26/9,810.68
  6. Step 6: Final answer
    x = 5,951.03

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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.