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Finding the Fourth Proportional to 36,001.84, 54,002.12 and 9,709.36

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Solution

The fourth proportional to 36,001.84, 54,002.12 and 9,709.36 is: 14,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,001.84 : 54,002.12 = 9,709.36 : x
  2. Step 2: Convert to fraction form
    36,001.84/54,002.12 = 9,709.36/x
  3. Step 3: Cross multiply
    36,001.84x = 54,002.12 × 9,709.36
  4. Step 4: Simplify right side
    36,001.84x = 524,326,023.84
  5. Step 5: Solve for x
    x = 524,326,023.84/36,001.84
  6. Step 6: Final answer
    x = 14,563.87

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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.