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Finding the Fourth Proportional to 9,682.03, 14,525.48 and 2,756.53

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Solution

The fourth proportional to 9,682.03, 14,525.48 and 2,756.53 is: 4,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.03 : 14,525.48 = 2,756.53 : x
  2. Step 2: Convert to fraction form
    9,682.03/14,525.48 = 2,756.53/x
  3. Step 3: Cross multiply
    9,682.03x = 14,525.48 × 2,756.53
  4. Step 4: Simplify right side
    9,682.03x = 40,039,930.93
  5. Step 5: Solve for x
    x = 40,039,930.93/9,682.03
  6. Step 6: Final answer
    x = 4,135.49

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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.