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Finding the Fourth Proportional to 9,530.82, 14,284.17 and 4,843.80

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Solution

The fourth proportional to 9,530.82, 14,284.17 and 4,843.80 is: 7,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.82 : 14,284.17 = 4,843.80 : x
  2. Step 2: Convert to fraction form
    9,530.82/14,284.17 = 4,843.80/x
  3. Step 3: Cross multiply
    9,530.82x = 14,284.17 × 4,843.80
  4. Step 4: Simplify right side
    9,530.82x = 69,189,662.65
  5. Step 5: Solve for x
    x = 69,189,662.65/9,530.82
  6. Step 6: Final answer
    x = 7,259.57

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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.