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Finding the Fourth Proportional to 6,589.26, 9,094.32 and 3,937.50

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Solution

The fourth proportional to 6,589.26, 9,094.32 and 3,937.50 is: 5,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.26 : 9,094.32 = 3,937.50 : x
  2. Step 2: Convert to fraction form
    6,589.26/9,094.32 = 3,937.50/x
  3. Step 3: Cross multiply
    6,589.26x = 9,094.32 × 3,937.50
  4. Step 4: Simplify right side
    6,589.26x = 35,808,885
  5. Step 5: Solve for x
    x = 35,808,885/6,589.26
  6. Step 6: Final answer
    x = 5,434.43

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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.