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Finding the Fourth Proportional to 9,160.59, 13,720.12 and 7,173.84

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Solution

The fourth proportional to 9,160.59, 13,720.12 and 7,173.84 is: 10,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.59 : 13,720.12 = 7,173.84 : x
  2. Step 2: Convert to fraction form
    9,160.59/13,720.12 = 7,173.84/x
  3. Step 3: Cross multiply
    9,160.59x = 13,720.12 × 7,173.84
  4. Step 4: Simplify right side
    9,160.59x = 98,425,912.97
  5. Step 5: Solve for x
    x = 98,425,912.97/9,160.59
  6. Step 6: Final answer
    x = 10,744.50

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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.