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Finding the Fourth Proportional to 9,137.46, 13,707.62 and 3,872.48

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Solution

The fourth proportional to 9,137.46, 13,707.62 and 3,872.48 is: 5,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.46 : 13,707.62 = 3,872.48 : x
  2. Step 2: Convert to fraction form
    9,137.46/13,707.62 = 3,872.48/x
  3. Step 3: Cross multiply
    9,137.46x = 13,707.62 × 3,872.48
  4. Step 4: Simplify right side
    9,137.46x = 53,082,484.30
  5. Step 5: Solve for x
    x = 53,082,484.30/9,137.46
  6. Step 6: Final answer
    x = 5,809.33

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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.