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Finding the Fourth Proportional to 9,093.60, 13,623.39 and 5,186.16

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Solution

The fourth proportional to 9,093.60, 13,623.39 and 5,186.16 is: 7,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.60 : 13,623.39 = 5,186.16 : x
  2. Step 2: Convert to fraction form
    9,093.60/13,623.39 = 5,186.16/x
  3. Step 3: Cross multiply
    9,093.60x = 13,623.39 × 5,186.16
  4. Step 4: Simplify right side
    9,093.60x = 70,653,080.28
  5. Step 5: Solve for x
    x = 70,653,080.28/9,093.60
  6. Step 6: Final answer
    x = 7,769.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.