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Finding the Fourth Proportional to 9,519.86, 14,263.38 and 7,412.24

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Solution

The fourth proportional to 9,519.86, 14,263.38 and 7,412.24 is: 11,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.86 : 14,263.38 = 7,412.24 : x
  2. Step 2: Convert to fraction form
    9,519.86/14,263.38 = 7,412.24/x
  3. Step 3: Cross multiply
    9,519.86x = 14,263.38 × 7,412.24
  4. Step 4: Simplify right side
    9,519.86x = 105,723,524.45
  5. Step 5: Solve for x
    x = 105,723,524.45/9,519.86
  6. Step 6: Final answer
    x = 11,105.58

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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.