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Finding the Fourth Proportional to 9,589.02, 13,241.22 and 6,454.32

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Solution

The fourth proportional to 9,589.02, 13,241.22 and 6,454.32 is: 8,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.02 : 13,241.22 = 6,454.32 : x
  2. Step 2: Convert to fraction form
    9,589.02/13,241.22 = 6,454.32/x
  3. Step 3: Cross multiply
    9,589.02x = 13,241.22 × 6,454.32
  4. Step 4: Simplify right side
    9,589.02x = 85,463,071.07
  5. Step 5: Solve for x
    x = 85,463,071.07/9,589.02
  6. Step 6: Final answer
    x = 8,912.60

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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.