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Finding the Fourth Proportional to 9,321.90, 12,858.77 and 5,963.48

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Solution

The fourth proportional to 9,321.90, 12,858.77 and 5,963.48 is: 8,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.90 : 12,858.77 = 5,963.48 : x
  2. Step 2: Convert to fraction form
    9,321.90/12,858.77 = 5,963.48/x
  3. Step 3: Cross multiply
    9,321.90x = 12,858.77 × 5,963.48
  4. Step 4: Simplify right side
    9,321.90x = 76,682,923.61
  5. Step 5: Solve for x
    x = 76,682,923.61/9,321.90
  6. Step 6: Final answer
    x = 8,226.10

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1.5x scale

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.