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Finding the Fourth Proportional to 9,762.50, 13,474.68 and 5,573.18

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Solution

The fourth proportional to 9,762.50, 13,474.68 and 5,573.18 is: 7,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.50 : 13,474.68 = 5,573.18 : x
  2. Step 2: Convert to fraction form
    9,762.50/13,474.68 = 5,573.18/x
  3. Step 3: Cross multiply
    9,762.50x = 13,474.68 × 5,573.18
  4. Step 4: Simplify right side
    9,762.50x = 75,096,817.08
  5. Step 5: Solve for x
    x = 75,096,817.08/9,762.50
  6. Step 6: Final answer
    x = 7,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.