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Finding the Fourth Proportional to 9,400.54, 14,108.10 and 5,021.68

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Solution

The fourth proportional to 9,400.54, 14,108.10 and 5,021.68 is: 7,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.54 : 14,108.10 = 5,021.68 : x
  2. Step 2: Convert to fraction form
    9,400.54/14,108.10 = 5,021.68/x
  3. Step 3: Cross multiply
    9,400.54x = 14,108.10 × 5,021.68
  4. Step 4: Simplify right side
    9,400.54x = 70,846,363.61
  5. Step 5: Solve for x
    x = 70,846,363.61/9,400.54
  6. Step 6: Final answer
    x = 7,536.41

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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.