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Finding the Fourth Proportional to 9,724.66, 14,589.16 and 2,798.62

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Solution

The fourth proportional to 9,724.66, 14,589.16 and 2,798.62 is: 4,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.66 : 14,589.16 = 2,798.62 : x
  2. Step 2: Convert to fraction form
    9,724.66/14,589.16 = 2,798.62/x
  3. Step 3: Cross multiply
    9,724.66x = 14,589.16 × 2,798.62
  4. Step 4: Simplify right side
    9,724.66x = 40,829,514.96
  5. Step 5: Solve for x
    x = 40,829,514.96/9,724.66
  6. Step 6: Final answer
    x = 4,198.55

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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.