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Finding the Fourth Proportional to 9,093.64, 13,641.72 and 3,251.20

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Solution

The fourth proportional to 9,093.64, 13,641.72 and 3,251.20 is: 4,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.64 : 13,641.72 = 3,251.20 : x
  2. Step 2: Convert to fraction form
    9,093.64/13,641.72 = 3,251.20/x
  3. Step 3: Cross multiply
    9,093.64x = 13,641.72 × 3,251.20
  4. Step 4: Simplify right side
    9,093.64x = 44,351,960.06
  5. Step 5: Solve for x
    x = 44,351,960.06/9,093.64
  6. Step 6: Final answer
    x = 4,877.25

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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.