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Finding the Fourth Proportional to 9,706.28, 14,556.36 and 3,131

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Solution

The fourth proportional to 9,706.28, 14,556.36 and 3,131 is: 4,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.28 : 14,556.36 = 3,131 : x
  2. Step 2: Convert to fraction form
    9,706.28/14,556.36 = 3,131/x
  3. Step 3: Cross multiply
    9,706.28x = 14,556.36 × 3,131
  4. Step 4: Simplify right side
    9,706.28x = 45,575,963.16
  5. Step 5: Solve for x
    x = 45,575,963.16/9,706.28
  6. Step 6: Final answer
    x = 4,695.51

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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.