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Finding the Fourth Proportional to 9,762.88, 14,643.79 and 2,743.39

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Solution

The fourth proportional to 9,762.88, 14,643.79 and 2,743.39 is: 4,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.88 : 14,643.79 = 2,743.39 : x
  2. Step 2: Convert to fraction form
    9,762.88/14,643.79 = 2,743.39/x
  3. Step 3: Cross multiply
    9,762.88x = 14,643.79 × 2,743.39
  4. Step 4: Simplify right side
    9,762.88x = 40,173,627.05
  5. Step 5: Solve for x
    x = 40,173,627.05/9,762.88
  6. Step 6: Final answer
    x = 4,114.94

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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.