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Finding the Fourth Proportional to 9,225.94, 13,838.91 and 8,305.36

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Solution

The fourth proportional to 9,225.94, 13,838.91 and 8,305.36 is: 12,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.94 : 13,838.91 = 8,305.36 : x
  2. Step 2: Convert to fraction form
    9,225.94/13,838.91 = 8,305.36/x
  3. Step 3: Cross multiply
    9,225.94x = 13,838.91 × 8,305.36
  4. Step 4: Simplify right side
    9,225.94x = 114,937,129.56
  5. Step 5: Solve for x
    x = 114,937,129.56/9,225.94
  6. Step 6: Final answer
    x = 12,458.04

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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.