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Finding the Fourth Proportional to 9,763.83, 14,644.22 and 3,188.57

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Solution

The fourth proportional to 9,763.83, 14,644.22 and 3,188.57 is: 4,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.83 : 14,644.22 = 3,188.57 : x
  2. Step 2: Convert to fraction form
    9,763.83/14,644.22 = 3,188.57/x
  3. Step 3: Cross multiply
    9,763.83x = 14,644.22 × 3,188.57
  4. Step 4: Simplify right side
    9,763.83x = 46,694,031.40
  5. Step 5: Solve for x
    x = 46,694,031.40/9,763.83
  6. Step 6: Final answer
    x = 4,782.35

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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.