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Finding the Fourth Proportional to 9,093.60, 13,623.30 and 5,186.16

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Solution

The fourth proportional to 9,093.60, 13,623.30 and 5,186.16 is: 7,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.60 : 13,623.30 = 5,186.16 : x
  2. Step 2: Convert to fraction form
    9,093.60/13,623.30 = 5,186.16/x
  3. Step 3: Cross multiply
    9,093.60x = 13,623.30 × 5,186.16
  4. Step 4: Simplify right side
    9,093.60x = 70,652,613.53
  5. Step 5: Solve for x
    x = 70,652,613.53/9,093.60
  6. Step 6: Final answer
    x = 7,769.49

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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.