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Finding the Fourth Proportional to 9,237.34, 13,847.62 and 3,689.50

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Solution

The fourth proportional to 9,237.34, 13,847.62 and 3,689.50 is: 5,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.34 : 13,847.62 = 3,689.50 : x
  2. Step 2: Convert to fraction form
    9,237.34/13,847.62 = 3,689.50/x
  3. Step 3: Cross multiply
    9,237.34x = 13,847.62 × 3,689.50
  4. Step 4: Simplify right side
    9,237.34x = 51,090,793.99
  5. Step 5: Solve for x
    x = 51,090,793.99/9,237.34
  6. Step 6: Final answer
    x = 5,530.90

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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.