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Finding the Fourth Proportional to 9,392.75, 14,093.99 and 4,775.75

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Solution

The fourth proportional to 9,392.75, 14,093.99 and 4,775.75 is: 7,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.75 : 14,093.99 = 4,775.75 : x
  2. Step 2: Convert to fraction form
    9,392.75/14,093.99 = 4,775.75/x
  3. Step 3: Cross multiply
    9,392.75x = 14,093.99 × 4,775.75
  4. Step 4: Simplify right side
    9,392.75x = 67,309,372.74
  5. Step 5: Solve for x
    x = 67,309,372.74/9,392.75
  6. Step 6: Final answer
    x = 7,166.10

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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.