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Finding the Fourth Proportional to 9,356.10, 13,992.84 and 8,323.38

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Solution

The fourth proportional to 9,356.10, 13,992.84 and 8,323.38 is: 12,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.10 : 13,992.84 = 8,323.38 : x
  2. Step 2: Convert to fraction form
    9,356.10/13,992.84 = 8,323.38/x
  3. Step 3: Cross multiply
    9,356.10x = 13,992.84 × 8,323.38
  4. Step 4: Simplify right side
    9,356.10x = 116,467,724.60
  5. Step 5: Solve for x
    x = 116,467,724.60/9,356.10
  6. Step 6: Final answer
    x = 12,448.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.