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Finding the Fourth Proportional to 9,194.32, 13,787.16 and 3,034

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Solution

The fourth proportional to 9,194.32, 13,787.16 and 3,034 is: 4,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.32 : 13,787.16 = 3,034 : x
  2. Step 2: Convert to fraction form
    9,194.32/13,787.16 = 3,034/x
  3. Step 3: Cross multiply
    9,194.32x = 13,787.16 × 3,034
  4. Step 4: Simplify right side
    9,194.32x = 41,830,243.44
  5. Step 5: Solve for x
    x = 41,830,243.44/9,194.32
  6. Step 6: Final answer
    x = 4,549.57

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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.