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Finding the Fourth Proportional to 9,272.86, 13,902.10 and 4,589.64

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Solution

The fourth proportional to 9,272.86, 13,902.10 and 4,589.64 is: 6,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.86 : 13,902.10 = 4,589.64 : x
  2. Step 2: Convert to fraction form
    9,272.86/13,902.10 = 4,589.64/x
  3. Step 3: Cross multiply
    9,272.86x = 13,902.10 × 4,589.64
  4. Step 4: Simplify right side
    9,272.86x = 63,805,634.24
  5. Step 5: Solve for x
    x = 63,805,634.24/9,272.86
  6. Step 6: Final answer
    x = 6,880.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.