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Finding the Fourth Proportional to 9,048.72, 13,634.72 and 7,441.28

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Solution

The fourth proportional to 9,048.72, 13,634.72 and 7,441.28 is: 11,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.72 : 13,634.72 = 7,441.28 : x
  2. Step 2: Convert to fraction form
    9,048.72/13,634.72 = 7,441.28/x
  3. Step 3: Cross multiply
    9,048.72x = 13,634.72 × 7,441.28
  4. Step 4: Simplify right side
    9,048.72x = 101,459,769.24
  5. Step 5: Solve for x
    x = 101,459,769.24/9,048.72
  6. Step 6: Final answer
    x = 11,212.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.