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Finding the Fourth Proportional to 27,850.13, 41,783.86 and 9,130.33

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Solution

The fourth proportional to 27,850.13, 41,783.86 and 9,130.33 is: 13,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.13 : 41,783.86 = 9,130.33 : x
  2. Step 2: Convert to fraction form
    27,850.13/41,783.86 = 9,130.33/x
  3. Step 3: Cross multiply
    27,850.13x = 41,783.86 × 9,130.33
  4. Step 4: Simplify right side
    27,850.13x = 381,500,430.47
  5. Step 5: Solve for x
    x = 381,500,430.47/27,850.13
  6. Step 6: Final answer
    x = 13,698.34

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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.