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Finding the Fourth Proportional to 9,137.36, 12,609.57 and 4,945.61

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Solution

The fourth proportional to 9,137.36, 12,609.57 and 4,945.61 is: 6,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.36 : 12,609.57 = 4,945.61 : x
  2. Step 2: Convert to fraction form
    9,137.36/12,609.57 = 4,945.61/x
  3. Step 3: Cross multiply
    9,137.36x = 12,609.57 × 4,945.61
  4. Step 4: Simplify right side
    9,137.36x = 62,362,015.49
  5. Step 5: Solve for x
    x = 62,362,015.49/9,137.36
  6. Step 6: Final answer
    x = 6,824.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.