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Finding the Fourth Proportional to 9,668.24, 14,502.20 and 4,125.20

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Solution

The fourth proportional to 9,668.24, 14,502.20 and 4,125.20 is: 6,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.24 : 14,502.20 = 4,125.20 : x
  2. Step 2: Convert to fraction form
    9,668.24/14,502.20 = 4,125.20/x
  3. Step 3: Cross multiply
    9,668.24x = 14,502.20 × 4,125.20
  4. Step 4: Simplify right side
    9,668.24x = 59,824,475.44
  5. Step 5: Solve for x
    x = 59,824,475.44/9,668.24
  6. Step 6: Final answer
    x = 6,187.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.