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Finding the Fourth Proportional to 9,415.41, 14,115.06 and 3,865.29

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Solution

The fourth proportional to 9,415.41, 14,115.06 and 3,865.29 is: 5,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.41 : 14,115.06 = 3,865.29 : x
  2. Step 2: Convert to fraction form
    9,415.41/14,115.06 = 3,865.29/x
  3. Step 3: Cross multiply
    9,415.41x = 14,115.06 × 3,865.29
  4. Step 4: Simplify right side
    9,415.41x = 54,558,747.34
  5. Step 5: Solve for x
    x = 54,558,747.34/9,415.41
  6. Step 6: Final answer
    x = 5,794.62

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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.