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Finding the Fourth Proportional to 9,271.10, 13,902.50 and 5,524.65

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Solution

The fourth proportional to 9,271.10, 13,902.50 and 5,524.65 is: 8,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.10 : 13,902.50 = 5,524.65 : x
  2. Step 2: Convert to fraction form
    9,271.10/13,902.50 = 5,524.65/x
  3. Step 3: Cross multiply
    9,271.10x = 13,902.50 × 5,524.65
  4. Step 4: Simplify right side
    9,271.10x = 76,806,349.49
  5. Step 5: Solve for x
    x = 76,806,349.49/9,271.10
  6. Step 6: Final answer
    x = 8,284.49

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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.