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Finding the Fourth Proportional to 9,486.92, 14,231.90 and 4,556.45

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Solution

The fourth proportional to 9,486.92, 14,231.90 and 4,556.45 is: 6,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.92 : 14,231.90 = 4,556.45 : x
  2. Step 2: Convert to fraction form
    9,486.92/14,231.90 = 4,556.45/x
  3. Step 3: Cross multiply
    9,486.92x = 14,231.90 × 4,556.45
  4. Step 4: Simplify right side
    9,486.92x = 64,846,987.73
  5. Step 5: Solve for x
    x = 64,846,987.73/9,486.92
  6. Step 6: Final answer
    x = 6,835.41

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