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Finding the Fourth Proportional to 9,727, 14,589.24 and 3,152.52

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Solution

The fourth proportional to 9,727, 14,589.24 and 3,152.52 is: 4,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727 : 14,589.24 = 3,152.52 : x
  2. Step 2: Convert to fraction form
    9,727/14,589.24 = 3,152.52/x
  3. Step 3: Cross multiply
    9,727x = 14,589.24 × 3,152.52
  4. Step 4: Simplify right side
    9,727x = 45,992,870.88
  5. Step 5: Solve for x
    x = 45,992,870.88/9,727
  6. Step 6: Final answer
    x = 4,728.37

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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.