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Finding the Fourth Proportional to 9,324.88, 13,974.72 and 5,164.72

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Solution

The fourth proportional to 9,324.88, 13,974.72 and 5,164.72 is: 7,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.88 : 13,974.72 = 5,164.72 : x
  2. Step 2: Convert to fraction form
    9,324.88/13,974.72 = 5,164.72/x
  3. Step 3: Cross multiply
    9,324.88x = 13,974.72 × 5,164.72
  4. Step 4: Simplify right side
    9,324.88x = 72,175,515.88
  5. Step 5: Solve for x
    x = 72,175,515.88/9,324.88
  6. Step 6: Final answer
    x = 7,740.10

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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.