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Finding the Fourth Proportional to 9,556.26, 14,335.20 and 3,314.40

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Solution

The fourth proportional to 9,556.26, 14,335.20 and 3,314.40 is: 4,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.26 : 14,335.20 = 3,314.40 : x
  2. Step 2: Convert to fraction form
    9,556.26/14,335.20 = 3,314.40/x
  3. Step 3: Cross multiply
    9,556.26x = 14,335.20 × 3,314.40
  4. Step 4: Simplify right side
    9,556.26x = 47,512,586.88
  5. Step 5: Solve for x
    x = 47,512,586.88/9,556.26
  6. Step 6: Final answer
    x = 4,971.88

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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.