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Finding the Fourth Proportional to 7,153.74, 9,872.25 and 3,967.10

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Solution

The fourth proportional to 7,153.74, 9,872.25 and 3,967.10 is: 5,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.74 : 9,872.25 = 3,967.10 : x
  2. Step 2: Convert to fraction form
    7,153.74/9,872.25 = 3,967.10/x
  3. Step 3: Cross multiply
    7,153.74x = 9,872.25 × 3,967.10
  4. Step 4: Simplify right side
    7,153.74x = 39,164,175.76
  5. Step 5: Solve for x
    x = 39,164,175.76/7,153.74
  6. Step 6: Final answer
    x = 5,474.64

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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.