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Finding the Fourth Proportional to 9,704.52, 14,556.76 and 3,041.52

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Solution

The fourth proportional to 9,704.52, 14,556.76 and 3,041.52 is: 4,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.52 : 14,556.76 = 3,041.52 : x
  2. Step 2: Convert to fraction form
    9,704.52/14,556.76 = 3,041.52/x
  3. Step 3: Cross multiply
    9,704.52x = 14,556.76 × 3,041.52
  4. Step 4: Simplify right side
    9,704.52x = 44,274,735.17
  5. Step 5: Solve for x
    x = 44,274,735.17/9,704.52
  6. Step 6: Final answer
    x = 4,562.28

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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.