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Finding the Fourth Proportional to 9,765.82, 14,648.91 and 3,191.98

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Solution

The fourth proportional to 9,765.82, 14,648.91 and 3,191.98 is: 4,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.82 : 14,648.91 = 3,191.98 : x
  2. Step 2: Convert to fraction form
    9,765.82/14,648.91 = 3,191.98/x
  3. Step 3: Cross multiply
    9,765.82x = 14,648.91 × 3,191.98
  4. Step 4: Simplify right side
    9,765.82x = 46,759,027.74
  5. Step 5: Solve for x
    x = 46,759,027.74/9,765.82
  6. Step 6: Final answer
    x = 4,788.03

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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.