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Finding the Fourth Proportional to 9,782.59, 14,673.99 and 2,762.78

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Solution

The fourth proportional to 9,782.59, 14,673.99 and 2,762.78 is: 4,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.59 : 14,673.99 = 2,762.78 : x
  2. Step 2: Convert to fraction form
    9,782.59/14,673.99 = 2,762.78/x
  3. Step 3: Cross multiply
    9,782.59x = 14,673.99 × 2,762.78
  4. Step 4: Simplify right side
    9,782.59x = 40,540,943.08
  5. Step 5: Solve for x
    x = 40,540,943.08/9,782.59
  6. Step 6: Final answer
    x = 4,144.19

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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.