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Finding the Fourth Proportional to 9,623.50, 14,435.67 and 3,050.17

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Solution

The fourth proportional to 9,623.50, 14,435.67 and 3,050.17 is: 4,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.50 : 14,435.67 = 3,050.17 : x
  2. Step 2: Convert to fraction form
    9,623.50/14,435.67 = 3,050.17/x
  3. Step 3: Cross multiply
    9,623.50x = 14,435.67 × 3,050.17
  4. Step 4: Simplify right side
    9,623.50x = 44,031,247.56
  5. Step 5: Solve for x
    x = 44,031,247.56/9,623.50
  6. Step 6: Final answer
    x = 4,575.39

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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.