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Finding the Fourth Proportional to 9,668.70, 14,403.20 and 9,438.30

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Solution

The fourth proportional to 9,668.70, 14,403.20 and 9,438.30 is: 14,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.70 : 14,403.20 = 9,438.30 : x
  2. Step 2: Convert to fraction form
    9,668.70/14,403.20 = 9,438.30/x
  3. Step 3: Cross multiply
    9,668.70x = 14,403.20 × 9,438.30
  4. Step 4: Simplify right side
    9,668.70x = 135,941,675.37
  5. Step 5: Solve for x
    x = 135,941,675.37/9,668.70
  6. Step 6: Final answer
    x = 14,059.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.