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Finding the Fourth Proportional to 7,173.96, 9,872.46 and 7,131.48

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Solution

The fourth proportional to 7,173.96, 9,872.46 and 7,131.48 is: 9,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.96 : 9,872.46 = 7,131.48 : x
  2. Step 2: Convert to fraction form
    7,173.96/9,872.46 = 7,131.48/x
  3. Step 3: Cross multiply
    7,173.96x = 9,872.46 × 7,131.48
  4. Step 4: Simplify right side
    7,173.96x = 70,405,251.04
  5. Step 5: Solve for x
    x = 70,405,251.04/7,173.96
  6. Step 6: Final answer
    x = 9,814.00

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