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Finding the Fourth Proportional to 9,304.01, 13,962.89 and 5,147.56

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Solution

The fourth proportional to 9,304.01, 13,962.89 and 5,147.56 is: 7,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.01 : 13,962.89 = 5,147.56 : x
  2. Step 2: Convert to fraction form
    9,304.01/13,962.89 = 5,147.56/x
  3. Step 3: Cross multiply
    9,304.01x = 13,962.89 × 5,147.56
  4. Step 4: Simplify right side
    9,304.01x = 71,874,792.01
  5. Step 5: Solve for x
    x = 71,874,792.01/9,304.01
  6. Step 6: Final answer
    x = 7,725.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.