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Finding the Fourth Proportional to 9,668.04, 14,503.12 and 4,121.98

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Solution

The fourth proportional to 9,668.04, 14,503.12 and 4,121.98 is: 6,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.04 : 14,503.12 = 4,121.98 : x
  2. Step 2: Convert to fraction form
    9,668.04/14,503.12 = 4,121.98/x
  3. Step 3: Cross multiply
    9,668.04x = 14,503.12 × 4,121.98
  4. Step 4: Simplify right side
    9,668.04x = 59,781,570.58
  5. Step 5: Solve for x
    x = 59,781,570.58/9,668.04
  6. Step 6: Final answer
    x = 6,183.42

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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.