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Finding the Fourth Proportional to 9,900.36, 13,662.18 and 5,709.24

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Solution

The fourth proportional to 9,900.36, 13,662.18 and 5,709.24 is: 7,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.36 : 13,662.18 = 5,709.24 : x
  2. Step 2: Convert to fraction form
    9,900.36/13,662.18 = 5,709.24/x
  3. Step 3: Cross multiply
    9,900.36x = 13,662.18 × 5,709.24
  4. Step 4: Simplify right side
    9,900.36x = 78,000,664.54
  5. Step 5: Solve for x
    x = 78,000,664.54/9,900.36
  6. Step 6: Final answer
    x = 7,878.57

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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.