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Finding the Fourth Proportional to 7,153.89, 9,872.46 and 3,967.25

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Solution

The fourth proportional to 7,153.89, 9,872.46 and 3,967.25 is: 5,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.89 : 9,872.46 = 3,967.25 : x
  2. Step 2: Convert to fraction form
    7,153.89/9,872.46 = 3,967.25/x
  3. Step 3: Cross multiply
    7,153.89x = 9,872.46 × 3,967.25
  4. Step 4: Simplify right side
    7,153.89x = 39,166,539.71
  5. Step 5: Solve for x
    x = 39,166,539.71/7,153.89
  6. Step 6: Final answer
    x = 5,474.86

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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.