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Finding the Fourth Proportional to 9,038.06, 13,558.05 and 3,194.54

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Solution

The fourth proportional to 9,038.06, 13,558.05 and 3,194.54 is: 4,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.06 : 13,558.05 = 3,194.54 : x
  2. Step 2: Convert to fraction form
    9,038.06/13,558.05 = 3,194.54/x
  3. Step 3: Cross multiply
    9,038.06x = 13,558.05 × 3,194.54
  4. Step 4: Simplify right side
    9,038.06x = 43,311,733.05
  5. Step 5: Solve for x
    x = 43,311,733.05/9,038.06
  6. Step 6: Final answer
    x = 4,792.15

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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.