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Finding the Fourth Proportional to 6,754.95, 9,321.99 and 4,237.16

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Solution

The fourth proportional to 6,754.95, 9,321.99 and 4,237.16 is: 5,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.95 : 9,321.99 = 4,237.16 : x
  2. Step 2: Convert to fraction form
    6,754.95/9,321.99 = 4,237.16/x
  3. Step 3: Cross multiply
    6,754.95x = 9,321.99 × 4,237.16
  4. Step 4: Simplify right side
    6,754.95x = 39,498,792.41
  5. Step 5: Solve for x
    x = 39,498,792.41/6,754.95
  6. Step 6: Final answer
    x = 5,847.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.