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Finding the Fourth Proportional to 9,208.50, 12,707.73 and 5,016.75

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Solution

The fourth proportional to 9,208.50, 12,707.73 and 5,016.75 is: 6,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.50 : 12,707.73 = 5,016.75 : x
  2. Step 2: Convert to fraction form
    9,208.50/12,707.73 = 5,016.75/x
  3. Step 3: Cross multiply
    9,208.50x = 12,707.73 × 5,016.75
  4. Step 4: Simplify right side
    9,208.50x = 63,751,504.48
  5. Step 5: Solve for x
    x = 63,751,504.48/9,208.50
  6. Step 6: Final answer
    x = 6,923.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.