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Finding the Fourth Proportional to 9,763.63, 14,648.29 and 3,523.50

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Solution

The fourth proportional to 9,763.63, 14,648.29 and 3,523.50 is: 5,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.63 : 14,648.29 = 3,523.50 : x
  2. Step 2: Convert to fraction form
    9,763.63/14,648.29 = 3,523.50/x
  3. Step 3: Cross multiply
    9,763.63x = 14,648.29 × 3,523.50
  4. Step 4: Simplify right side
    9,763.63x = 51,613,241.01
  5. Step 5: Solve for x
    x = 51,613,241.01/9,763.63
  6. Step 6: Final answer
    x = 5,286.28

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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.