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Finding the Fourth Proportional to 9,153.75, 12,632.19 and 4,962

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Solution

The fourth proportional to 9,153.75, 12,632.19 and 4,962 is: 6,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.75 : 12,632.19 = 4,962 : x
  2. Step 2: Convert to fraction form
    9,153.75/12,632.19 = 4,962/x
  3. Step 3: Cross multiply
    9,153.75x = 12,632.19 × 4,962
  4. Step 4: Simplify right side
    9,153.75x = 62,680,926.78
  5. Step 5: Solve for x
    x = 62,680,926.78/9,153.75
  6. Step 6: Final answer
    x = 6,847.57

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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.