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Finding the Fourth Proportional to 9,147.32, 13,722.89 and 5,200.39

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Solution

The fourth proportional to 9,147.32, 13,722.89 and 5,200.39 is: 7,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.32 : 13,722.89 = 5,200.39 : x
  2. Step 2: Convert to fraction form
    9,147.32/13,722.89 = 5,200.39/x
  3. Step 3: Cross multiply
    9,147.32x = 13,722.89 × 5,200.39
  4. Step 4: Simplify right side
    9,147.32x = 71,364,379.93
  5. Step 5: Solve for x
    x = 71,364,379.93/9,147.32
  6. Step 6: Final answer
    x = 7,801.67

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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.