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Finding the Fourth Proportional to 36,864.07, 55,296.09 and 9,162.07

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Solution

The fourth proportional to 36,864.07, 55,296.09 and 9,162.07 is: 13,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864.07 : 55,296.09 = 9,162.07 : x
  2. Step 2: Convert to fraction form
    36,864.07/55,296.09 = 9,162.07/x
  3. Step 3: Cross multiply
    36,864.07x = 55,296.09 × 9,162.07
  4. Step 4: Simplify right side
    36,864.07x = 506,626,647.31
  5. Step 5: Solve for x
    x = 506,626,647.31/36,864.07
  6. Step 6: Final answer
    x = 13,743.10

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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.