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Finding the Fourth Proportional to 9,296.35, 13,930.67 and 5,137.54

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Solution

The fourth proportional to 9,296.35, 13,930.67 and 5,137.54 is: 7,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.35 : 13,930.67 = 5,137.54 : x
  2. Step 2: Convert to fraction form
    9,296.35/13,930.67 = 5,137.54/x
  3. Step 3: Cross multiply
    9,296.35x = 13,930.67 × 5,137.54
  4. Step 4: Simplify right side
    9,296.35x = 71,569,374.35
  5. Step 5: Solve for x
    x = 71,569,374.35/9,296.35
  6. Step 6: Final answer
    x = 7,698.66

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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.