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Finding the Fourth Proportional to 9,038.56, 13,557.04 and 3,194.88

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Solution

The fourth proportional to 9,038.56, 13,557.04 and 3,194.88 is: 4,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.56 : 13,557.04 = 3,194.88 : x
  2. Step 2: Convert to fraction form
    9,038.56/13,557.04 = 3,194.88/x
  3. Step 3: Cross multiply
    9,038.56x = 13,557.04 × 3,194.88
  4. Step 4: Simplify right side
    9,038.56x = 43,313,115.96
  5. Step 5: Solve for x
    x = 43,313,115.96/9,038.56
  6. Step 6: Final answer
    x = 4,792.04

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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.