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Finding the Fourth Proportional to 6,589.85, 9,094.83 and 4,323.11

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Solution

The fourth proportional to 6,589.85, 9,094.83 and 4,323.11 is: 5,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.85 : 9,094.83 = 4,323.11 : x
  2. Step 2: Convert to fraction form
    6,589.85/9,094.83 = 4,323.11/x
  3. Step 3: Cross multiply
    6,589.85x = 9,094.83 × 4,323.11
  4. Step 4: Simplify right side
    6,589.85x = 39,317,905.05
  5. Step 5: Solve for x
    x = 39,317,905.05/6,589.85
  6. Step 6: Final answer
    x = 5,966.43

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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.