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Finding the Fourth Proportional to 9,743.94, 14,620.23 and 3,586.50

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Solution

The fourth proportional to 9,743.94, 14,620.23 and 3,586.50 is: 5,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.94 : 14,620.23 = 3,586.50 : x
  2. Step 2: Convert to fraction form
    9,743.94/14,620.23 = 3,586.50/x
  3. Step 3: Cross multiply
    9,743.94x = 14,620.23 × 3,586.50
  4. Step 4: Simplify right side
    9,743.94x = 52,435,454.90
  5. Step 5: Solve for x
    x = 52,435,454.90/9,743.94
  6. Step 6: Final answer
    x = 5,381.34

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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.