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Finding the Fourth Proportional to 9,622, 14,435.43 and 2,696.50

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Solution

The fourth proportional to 9,622, 14,435.43 and 2,696.50 is: 4,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622 : 14,435.43 = 2,696.50 : x
  2. Step 2: Convert to fraction form
    9,622/14,435.43 = 2,696.50/x
  3. Step 3: Cross multiply
    9,622x = 14,435.43 × 2,696.50
  4. Step 4: Simplify right side
    9,622x = 38,925,137.00
  5. Step 5: Solve for x
    x = 38,925,137.00/9,622
  6. Step 6: Final answer
    x = 4,045.43

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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.