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Finding the Fourth Proportional to 9,291.62, 13,940.34 and 3,051.68

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Solution

The fourth proportional to 9,291.62, 13,940.34 and 3,051.68 is: 4,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.62 : 13,940.34 = 3,051.68 : x
  2. Step 2: Convert to fraction form
    9,291.62/13,940.34 = 3,051.68/x
  3. Step 3: Cross multiply
    9,291.62x = 13,940.34 × 3,051.68
  4. Step 4: Simplify right side
    9,291.62x = 42,541,456.77
  5. Step 5: Solve for x
    x = 42,541,456.77/9,291.62
  6. Step 6: Final answer
    x = 4,578.48

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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.