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Finding the Fourth Proportional to 9,094.63, 13,641.33 and 3,546.94

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Solution

The fourth proportional to 9,094.63, 13,641.33 and 3,546.94 is: 5,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.63 : 13,641.33 = 3,546.94 : x
  2. Step 2: Convert to fraction form
    9,094.63/13,641.33 = 3,546.94/x
  3. Step 3: Cross multiply
    9,094.63x = 13,641.33 × 3,546.94
  4. Step 4: Simplify right side
    9,094.63x = 48,384,979.03
  5. Step 5: Solve for x
    x = 48,384,979.03/9,094.63
  6. Step 6: Final answer
    x = 5,320.17

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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.