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Finding the Fourth Proportional to 9,239.50, 13,859.25 and 3,695.32

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Solution

The fourth proportional to 9,239.50, 13,859.25 and 3,695.32 is: 5,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.50 : 13,859.25 = 3,695.32 : x
  2. Step 2: Convert to fraction form
    9,239.50/13,859.25 = 3,695.32/x
  3. Step 3: Cross multiply
    9,239.50x = 13,859.25 × 3,695.32
  4. Step 4: Simplify right side
    9,239.50x = 51,214,363.71
  5. Step 5: Solve for x
    x = 51,214,363.71/9,239.50
  6. Step 6: Final answer
    x = 5,542.98

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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.