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Finding the Fourth Proportional to 9,078.66, 13,616.36 and 2,503.22

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Solution

The fourth proportional to 9,078.66, 13,616.36 and 2,503.22 is: 3,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.66 : 13,616.36 = 2,503.22 : x
  2. Step 2: Convert to fraction form
    9,078.66/13,616.36 = 2,503.22/x
  3. Step 3: Cross multiply
    9,078.66x = 13,616.36 × 2,503.22
  4. Step 4: Simplify right side
    9,078.66x = 34,084,664.08
  5. Step 5: Solve for x
    x = 34,084,664.08/9,078.66
  6. Step 6: Final answer
    x = 3,754.37

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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.