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Finding the Fourth Proportional to 9,608.57, 14,414.34 and 4,061.93

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Solution

The fourth proportional to 9,608.57, 14,414.34 and 4,061.93 is: 6,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.57 : 14,414.34 = 4,061.93 : x
  2. Step 2: Convert to fraction form
    9,608.57/14,414.34 = 4,061.93/x
  3. Step 3: Cross multiply
    9,608.57x = 14,414.34 × 4,061.93
  4. Step 4: Simplify right side
    9,608.57x = 58,550,040.08
  5. Step 5: Solve for x
    x = 58,550,040.08/9,608.57
  6. Step 6: Final answer
    x = 6,093.52

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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.