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Finding the Fourth Proportional to 9,402.22, 14,105.76 and 5,018.50

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Solution

The fourth proportional to 9,402.22, 14,105.76 and 5,018.50 is: 7,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.22 : 14,105.76 = 5,018.50 : x
  2. Step 2: Convert to fraction form
    9,402.22/14,105.76 = 5,018.50/x
  3. Step 3: Cross multiply
    9,402.22x = 14,105.76 × 5,018.50
  4. Step 4: Simplify right side
    9,402.22x = 70,789,756.56
  5. Step 5: Solve for x
    x = 70,789,756.56/9,402.22
  6. Step 6: Final answer
    x = 7,529.05

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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.