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Finding the Fourth Proportional to 9,762.87, 14,644.49 and 3,523.35

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Solution

The fourth proportional to 9,762.87, 14,644.49 and 3,523.35 is: 5,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.87 : 14,644.49 = 3,523.35 : x
  2. Step 2: Convert to fraction form
    9,762.87/14,644.49 = 3,523.35/x
  3. Step 3: Cross multiply
    9,762.87x = 14,644.49 × 3,523.35
  4. Step 4: Simplify right side
    9,762.87x = 51,597,727.57
  5. Step 5: Solve for x
    x = 51,597,727.57/9,762.87
  6. Step 6: Final answer
    x = 5,285.10

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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.