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Finding the Fourth Proportional to 9,568.83, 14,351.09 and 3,412.83

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Solution

The fourth proportional to 9,568.83, 14,351.09 and 3,412.83 is: 5,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.83 : 14,351.09 = 3,412.83 : x
  2. Step 2: Convert to fraction form
    9,568.83/14,351.09 = 3,412.83/x
  3. Step 3: Cross multiply
    9,568.83x = 14,351.09 × 3,412.83
  4. Step 4: Simplify right side
    9,568.83x = 48,977,813.42
  5. Step 5: Solve for x
    x = 48,977,813.42/9,568.83
  6. Step 6: Final answer
    x = 5,118.47

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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.