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Finding the Fourth Proportional to 9,186.60, 13,755.60 and 7,226.40

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Solution

The fourth proportional to 9,186.60, 13,755.60 and 7,226.40 is: 10,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.60 : 13,755.60 = 7,226.40 : x
  2. Step 2: Convert to fraction form
    9,186.60/13,755.60 = 7,226.40/x
  3. Step 3: Cross multiply
    9,186.60x = 13,755.60 × 7,226.40
  4. Step 4: Simplify right side
    9,186.60x = 99,403,467.84
  5. Step 5: Solve for x
    x = 99,403,467.84/9,186.60
  6. Step 6: Final answer
    x = 10,820.49

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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.