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Finding the Fourth Proportional to 9,709.84, 13,399.53 and 5,518.09

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Solution

The fourth proportional to 9,709.84, 13,399.53 and 5,518.09 is: 7,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.84 : 13,399.53 = 5,518.09 : x
  2. Step 2: Convert to fraction form
    9,709.84/13,399.53 = 5,518.09/x
  3. Step 3: Cross multiply
    9,709.84x = 13,399.53 × 5,518.09
  4. Step 4: Simplify right side
    9,709.84x = 73,939,745.50
  5. Step 5: Solve for x
    x = 73,939,745.50/9,709.84
  6. Step 6: Final answer
    x = 7,614.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.