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Finding the Fourth Proportional to 9,167, 12,653.74 and 5,441

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Solution

The fourth proportional to 9,167, 12,653.74 and 5,441 is: 7,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167 : 12,653.74 = 5,441 : x
  2. Step 2: Convert to fraction form
    9,167/12,653.74 = 5,441/x
  3. Step 3: Cross multiply
    9,167x = 12,653.74 × 5,441
  4. Step 4: Simplify right side
    9,167x = 68,848,999.34
  5. Step 5: Solve for x
    x = 68,848,999.34/9,167
  6. Step 6: Final answer
    x = 7,510.53

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Why These Related Problems?

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