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Finding the Fourth Proportional to 9,153.72, 12,632.15 and 4,961.97

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Solution

The fourth proportional to 9,153.72, 12,632.15 and 4,961.97 is: 6,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.72 : 12,632.15 = 4,961.97 : x
  2. Step 2: Convert to fraction form
    9,153.72/12,632.15 = 4,961.97/x
  3. Step 3: Cross multiply
    9,153.72x = 12,632.15 × 4,961.97
  4. Step 4: Simplify right side
    9,153.72x = 62,680,409.11
  5. Step 5: Solve for x
    x = 62,680,409.11/9,153.72
  6. Step 6: Final answer
    x = 6,847.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.