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Finding the Fourth Proportional to 9,242.16, 13,859.04 and 5,976.24

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Solution

The fourth proportional to 9,242.16, 13,859.04 and 5,976.24 is: 8,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.16 : 13,859.04 = 5,976.24 : x
  2. Step 2: Convert to fraction form
    9,242.16/13,859.04 = 5,976.24/x
  3. Step 3: Cross multiply
    9,242.16x = 13,859.04 × 5,976.24
  4. Step 4: Simplify right side
    9,242.16x = 82,824,949.21
  5. Step 5: Solve for x
    x = 82,824,949.21/9,242.16
  6. Step 6: Final answer
    x = 8,961.64

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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.