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Finding the Fourth Proportional to 9,285.14, 12,813.65 and 5,093.78

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Solution

The fourth proportional to 9,285.14, 12,813.65 and 5,093.78 is: 7,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.14 : 12,813.65 = 5,093.78 : x
  2. Step 2: Convert to fraction form
    9,285.14/12,813.65 = 5,093.78/x
  3. Step 3: Cross multiply
    9,285.14x = 12,813.65 × 5,093.78
  4. Step 4: Simplify right side
    9,285.14x = 65,269,914.10
  5. Step 5: Solve for x
    x = 65,269,914.10/9,285.14
  6. Step 6: Final answer
    x = 7,029.50

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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.