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Finding the Fourth Proportional to 9,722.43, 14,583.65 and 2,796.93

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Solution

The fourth proportional to 9,722.43, 14,583.65 and 2,796.93 is: 4,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.43 : 14,583.65 = 2,796.93 : x
  2. Step 2: Convert to fraction form
    9,722.43/14,583.65 = 2,796.93/x
  3. Step 3: Cross multiply
    9,722.43x = 14,583.65 × 2,796.93
  4. Step 4: Simplify right side
    9,722.43x = 40,789,434.21
  5. Step 5: Solve for x
    x = 40,789,434.21/9,722.43
  6. Step 6: Final answer
    x = 4,195.40

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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.