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Finding the Fourth Proportional to 9,225.06, 13,839 and 3,678.48

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Solution

The fourth proportional to 9,225.06, 13,839 and 3,678.48 is: 5,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.06 : 13,839 = 3,678.48 : x
  2. Step 2: Convert to fraction form
    9,225.06/13,839 = 3,678.48/x
  3. Step 3: Cross multiply
    9,225.06x = 13,839 × 3,678.48
  4. Step 4: Simplify right side
    9,225.06x = 50,906,484.72
  5. Step 5: Solve for x
    x = 50,906,484.72/9,225.06
  6. Step 6: Final answer
    x = 5,518.28

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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.