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Finding the Fourth Proportional to 9,816.57, 13,542.39 and 5,835.42

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Solution

The fourth proportional to 9,816.57, 13,542.39 and 5,835.42 is: 8,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.57 : 13,542.39 = 5,835.42 : x
  2. Step 2: Convert to fraction form
    9,816.57/13,542.39 = 5,835.42/x
  3. Step 3: Cross multiply
    9,816.57x = 13,542.39 × 5,835.42
  4. Step 4: Simplify right side
    9,816.57x = 79,025,533.45
  5. Step 5: Solve for x
    x = 79,025,533.45/9,816.57
  6. Step 6: Final answer
    x = 8,050.22

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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.