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Finding the Fourth Proportional to 9,499.63, 14,249.64 and 3,259.61

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Solution

The fourth proportional to 9,499.63, 14,249.64 and 3,259.61 is: 4,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.63 : 14,249.64 = 3,259.61 : x
  2. Step 2: Convert to fraction form
    9,499.63/14,249.64 = 3,259.61/x
  3. Step 3: Cross multiply
    9,499.63x = 14,249.64 × 3,259.61
  4. Step 4: Simplify right side
    9,499.63x = 46,448,269.04
  5. Step 5: Solve for x
    x = 46,448,269.04/9,499.63
  6. Step 6: Final answer
    x = 4,889.48

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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.