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Finding the Fourth Proportional to 9,153.14, 12,631.32 and 4,961.39

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Solution

The fourth proportional to 9,153.14, 12,631.32 and 4,961.39 is: 6,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.14 : 12,631.32 = 4,961.39 : x
  2. Step 2: Convert to fraction form
    9,153.14/12,631.32 = 4,961.39/x
  3. Step 3: Cross multiply
    9,153.14x = 12,631.32 × 4,961.39
  4. Step 4: Simplify right side
    9,153.14x = 62,668,904.73
  5. Step 5: Solve for x
    x = 62,668,904.73/9,153.14
  6. Step 6: Final answer
    x = 6,846.71

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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.