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Finding the Fourth Proportional to 6,367.32, 9,532.50 and 3,894.59

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Solution

The fourth proportional to 6,367.32, 9,532.50 and 3,894.59 is: 5,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.32 : 9,532.50 = 3,894.59 : x
  2. Step 2: Convert to fraction form
    6,367.32/9,532.50 = 3,894.59/x
  3. Step 3: Cross multiply
    6,367.32x = 9,532.50 × 3,894.59
  4. Step 4: Simplify right side
    6,367.32x = 37,125,179.18
  5. Step 5: Solve for x
    x = 37,125,179.18/6,367.32
  6. Step 6: Final answer
    x = 5,830.58

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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.