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Finding the Fourth Proportional to 9,742.52, 14,610.18 and 3,500.85

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Solution

The fourth proportional to 9,742.52, 14,610.18 and 3,500.85 is: 5,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.52 : 14,610.18 = 3,500.85 : x
  2. Step 2: Convert to fraction form
    9,742.52/14,610.18 = 3,500.85/x
  3. Step 3: Cross multiply
    9,742.52x = 14,610.18 × 3,500.85
  4. Step 4: Simplify right side
    9,742.52x = 51,148,048.65
  5. Step 5: Solve for x
    x = 51,148,048.65/9,742.52
  6. Step 6: Final answer
    x = 5,249.98

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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.