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Finding the Fourth Proportional to 10,704.31, 14,738.38 and 9,720.16

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Solution

The fourth proportional to 10,704.31, 14,738.38 and 9,720.16 is: 13,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.31 : 14,738.38 = 9,720.16 : x
  2. Step 2: Convert to fraction form
    10,704.31/14,738.38 = 9,720.16/x
  3. Step 3: Cross multiply
    10,704.31x = 14,738.38 × 9,720.16
  4. Step 4: Simplify right side
    10,704.31x = 143,259,350.59
  5. Step 5: Solve for x
    x = 143,259,350.59/10,704.31
  6. Step 6: Final answer
    x = 13,383.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.