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Finding the Fourth Proportional to 6,889.86, 9,504.54 and 4,233.06

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Solution

The fourth proportional to 6,889.86, 9,504.54 and 4,233.06 is: 5,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.86 : 9,504.54 = 4,233.06 : x
  2. Step 2: Convert to fraction form
    6,889.86/9,504.54 = 4,233.06/x
  3. Step 3: Cross multiply
    6,889.86x = 9,504.54 × 4,233.06
  4. Step 4: Simplify right side
    6,889.86x = 40,233,288.09
  5. Step 5: Solve for x
    x = 40,233,288.09/6,889.86
  6. Step 6: Final answer
    x = 5,839.49

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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.