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Finding the Fourth Proportional to 9,391.75, 14,092.49 and 4,774.75

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Solution

The fourth proportional to 9,391.75, 14,092.49 and 4,774.75 is: 7,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.75 : 14,092.49 = 4,774.75 : x
  2. Step 2: Convert to fraction form
    9,391.75/14,092.49 = 4,774.75/x
  3. Step 3: Cross multiply
    9,391.75x = 14,092.49 × 4,774.75
  4. Step 4: Simplify right side
    9,391.75x = 67,288,116.63
  5. Step 5: Solve for x
    x = 67,288,116.63/9,391.75
  6. Step 6: Final answer
    x = 7,164.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.