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Finding the Fourth Proportional to 9,567.96, 14,351.94 and 5,213.09

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Solution

The fourth proportional to 9,567.96, 14,351.94 and 5,213.09 is: 7,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.96 : 14,351.94 = 5,213.09 : x
  2. Step 2: Convert to fraction form
    9,567.96/14,351.94 = 5,213.09/x
  3. Step 3: Cross multiply
    9,567.96x = 14,351.94 × 5,213.09
  4. Step 4: Simplify right side
    9,567.96x = 74,817,990.77
  5. Step 5: Solve for x
    x = 74,817,990.77/9,567.96
  6. Step 6: Final answer
    x = 7,819.64

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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.