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Finding the Fourth Proportional to 9,668.31, 14,502.60 and 2,742.81

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Solution

The fourth proportional to 9,668.31, 14,502.60 and 2,742.81 is: 4,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.31 : 14,502.60 = 2,742.81 : x
  2. Step 2: Convert to fraction form
    9,668.31/14,502.60 = 2,742.81/x
  3. Step 3: Cross multiply
    9,668.31x = 14,502.60 × 2,742.81
  4. Step 4: Simplify right side
    9,668.31x = 39,777,876.31
  5. Step 5: Solve for x
    x = 39,777,876.31/9,668.31
  6. Step 6: Final answer
    x = 4,114.25

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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.