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Finding the Fourth Proportional to 9,800.05, 13,524.53 and 6,023.37

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Solution

The fourth proportional to 9,800.05, 13,524.53 and 6,023.37 is: 8,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.05 : 13,524.53 = 6,023.37 : x
  2. Step 2: Convert to fraction form
    9,800.05/13,524.53 = 6,023.37/x
  3. Step 3: Cross multiply
    9,800.05x = 13,524.53 × 6,023.37
  4. Step 4: Simplify right side
    9,800.05x = 81,463,150.53
  5. Step 5: Solve for x
    x = 81,463,150.53/9,800.05
  6. Step 6: Final answer
    x = 8,312.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.