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Finding the Fourth Proportional to 9,379.76, 12,906.38 and 9,056.56

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Solution

The fourth proportional to 9,379.76, 12,906.38 and 9,056.56 is: 12,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.76 : 12,906.38 = 9,056.56 : x
  2. Step 2: Convert to fraction form
    9,379.76/12,906.38 = 9,056.56/x
  3. Step 3: Cross multiply
    9,379.76x = 12,906.38 × 9,056.56
  4. Step 4: Simplify right side
    9,379.76x = 116,887,404.85
  5. Step 5: Solve for x
    x = 116,887,404.85/9,379.76
  6. Step 6: Final answer
    x = 12,461.66

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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.