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Finding the Fourth Proportional to 35,786.36, 53,682.36 and 9,491.11

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Solution

The fourth proportional to 35,786.36, 53,682.36 and 9,491.11 is: 14,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786.36 : 53,682.36 = 9,491.11 : x
  2. Step 2: Convert to fraction form
    35,786.36/53,682.36 = 9,491.11/x
  3. Step 3: Cross multiply
    35,786.36x = 53,682.36 × 9,491.11
  4. Step 4: Simplify right side
    35,786.36x = 509,504,944.16
  5. Step 5: Solve for x
    x = 509,504,944.16/35,786.36
  6. Step 6: Final answer
    x = 14,237.40

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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.