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Finding the Fourth Proportional to 9,765.81, 14,651.22 and 2,840.31

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Solution

The fourth proportional to 9,765.81, 14,651.22 and 2,840.31 is: 4,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.81 : 14,651.22 = 2,840.31 : x
  2. Step 2: Convert to fraction form
    9,765.81/14,651.22 = 2,840.31/x
  3. Step 3: Cross multiply
    9,765.81x = 14,651.22 × 2,840.31
  4. Step 4: Simplify right side
    9,765.81x = 41,614,006.68
  5. Step 5: Solve for x
    x = 41,614,006.68/9,765.81
  6. Step 6: Final answer
    x = 4,261.19

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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.