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Finding the Fourth Proportional to 9,551.18, 14,331.06 and 5,163.50

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Solution

The fourth proportional to 9,551.18, 14,331.06 and 5,163.50 is: 7,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.18 : 14,331.06 = 5,163.50 : x
  2. Step 2: Convert to fraction form
    9,551.18/14,331.06 = 5,163.50/x
  3. Step 3: Cross multiply
    9,551.18x = 14,331.06 × 5,163.50
  4. Step 4: Simplify right side
    9,551.18x = 73,998,356.65
  5. Step 5: Solve for x
    x = 73,998,356.65/9,551.18
  6. Step 6: Final answer
    x = 7,747.57

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Why These Related Problems?

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