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Finding the Fourth Proportional to 9,525.80, 13,144.04 and 5,986.50

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Solution

The fourth proportional to 9,525.80, 13,144.04 and 5,986.50 is: 8,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.80 : 13,144.04 = 5,986.50 : x
  2. Step 2: Convert to fraction form
    9,525.80/13,144.04 = 5,986.50/x
  3. Step 3: Cross multiply
    9,525.80x = 13,144.04 × 5,986.50
  4. Step 4: Simplify right side
    9,525.80x = 78,686,765.53
  5. Step 5: Solve for x
    x = 78,686,765.53/9,525.80
  6. Step 6: Final answer
    x = 8,260.39

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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.