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Finding the Fourth Proportional to 9,546.36, 14,276.94 and 7,176.24

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Solution

The fourth proportional to 9,546.36, 14,276.94 and 7,176.24 is: 10,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.36 : 14,276.94 = 7,176.24 : x
  2. Step 2: Convert to fraction form
    9,546.36/14,276.94 = 7,176.24/x
  3. Step 3: Cross multiply
    9,546.36x = 14,276.94 × 7,176.24
  4. Step 4: Simplify right side
    9,546.36x = 102,454,747.91
  5. Step 5: Solve for x
    x = 102,454,747.91/9,546.36
  6. Step 6: Final answer
    x = 10,732.34

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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.