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Finding the Fourth Proportional to 9,131.22, 13,616.66 and 9,048.06

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Solution

The fourth proportional to 9,131.22, 13,616.66 and 9,048.06 is: 13,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.22 : 13,616.66 = 9,048.06 : x
  2. Step 2: Convert to fraction form
    9,131.22/13,616.66 = 9,048.06/x
  3. Step 3: Cross multiply
    9,131.22x = 13,616.66 × 9,048.06
  4. Step 4: Simplify right side
    9,131.22x = 123,204,311.44
  5. Step 5: Solve for x
    x = 123,204,311.44/9,131.22
  6. Step 6: Final answer
    x = 13,492.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.