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Finding the Fourth Proportional to 9,105.76, 13,658.64 and 2,531.95

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Solution

The fourth proportional to 9,105.76, 13,658.64 and 2,531.95 is: 3,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.76 : 13,658.64 = 2,531.95 : x
  2. Step 2: Convert to fraction form
    9,105.76/13,658.64 = 2,531.95/x
  3. Step 3: Cross multiply
    9,105.76x = 13,658.64 × 2,531.95
  4. Step 4: Simplify right side
    9,105.76x = 34,582,993.55
  5. Step 5: Solve for x
    x = 34,582,993.55/9,105.76
  6. Step 6: Final answer
    x = 3,797.93

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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.