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Finding the Fourth Proportional to 9,113.03, 13,658.57 and 3,846

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Solution

The fourth proportional to 9,113.03, 13,658.57 and 3,846 is: 5,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.03 : 13,658.57 = 3,846 : x
  2. Step 2: Convert to fraction form
    9,113.03/13,658.57 = 3,846/x
  3. Step 3: Cross multiply
    9,113.03x = 13,658.57 × 3,846
  4. Step 4: Simplify right side
    9,113.03x = 52,530,840.99
  5. Step 5: Solve for x
    x = 52,530,840.99/9,113.03
  6. Step 6: Final answer
    x = 5,764.37

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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.