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Finding the Fourth Proportional to 27,784.94, 41,684.05 and 9,064.99

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Solution

The fourth proportional to 27,784.94, 41,684.05 and 9,064.99 is: 13,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.94 : 41,684.05 = 9,064.99 : x
  2. Step 2: Convert to fraction form
    27,784.94/41,684.05 = 9,064.99/x
  3. Step 3: Cross multiply
    27,784.94x = 41,684.05 × 9,064.99
  4. Step 4: Simplify right side
    27,784.94x = 377,865,559.85
  5. Step 5: Solve for x
    x = 377,865,559.85/27,784.94
  6. Step 6: Final answer
    x = 13,599.66

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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.