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Finding the Fourth Proportional to 9,514.76, 14,272.12 and 2,589.24

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Solution

The fourth proportional to 9,514.76, 14,272.12 and 2,589.24 is: 3,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.76 : 14,272.12 = 2,589.24 : x
  2. Step 2: Convert to fraction form
    9,514.76/14,272.12 = 2,589.24/x
  3. Step 3: Cross multiply
    9,514.76x = 14,272.12 × 2,589.24
  4. Step 4: Simplify right side
    9,514.76x = 36,953,943.99
  5. Step 5: Solve for x
    x = 36,953,943.99/9,514.76
  6. Step 6: Final answer
    x = 3,883.85

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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.