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Finding the Fourth Proportional to 9,077.76, 13,616.51 and 2,503.80

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Solution

The fourth proportional to 9,077.76, 13,616.51 and 2,503.80 is: 3,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.76 : 13,616.51 = 2,503.80 : x
  2. Step 2: Convert to fraction form
    9,077.76/13,616.51 = 2,503.80/x
  3. Step 3: Cross multiply
    9,077.76x = 13,616.51 × 2,503.80
  4. Step 4: Simplify right side
    9,077.76x = 34,093,005.22
  5. Step 5: Solve for x
    x = 34,093,005.22/9,077.76
  6. Step 6: Final answer
    x = 3,755.66

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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.