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Finding the Fourth Proportional to 36,864.08, 55,296.15 and 9,162.08

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Solution

The fourth proportional to 36,864.08, 55,296.15 and 9,162.08 is: 13,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864.08 : 55,296.15 = 9,162.08 : x
  2. Step 2: Convert to fraction form
    36,864.08/55,296.15 = 9,162.08/x
  3. Step 3: Cross multiply
    36,864.08x = 55,296.15 × 9,162.08
  4. Step 4: Simplify right side
    36,864.08x = 506,627,473.51
  5. Step 5: Solve for x
    x = 506,627,473.51/36,864.08
  6. Step 6: Final answer
    x = 13,743.12

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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.