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Finding the Fourth Proportional to 9,669.36, 14,503.68 and 2,743.68

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Solution

The fourth proportional to 9,669.36, 14,503.68 and 2,743.68 is: 4,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.36 : 14,503.68 = 2,743.68 : x
  2. Step 2: Convert to fraction form
    9,669.36/14,503.68 = 2,743.68/x
  3. Step 3: Cross multiply
    9,669.36x = 14,503.68 × 2,743.68
  4. Step 4: Simplify right side
    9,669.36x = 39,793,456.74
  5. Step 5: Solve for x
    x = 39,793,456.74/9,669.36
  6. Step 6: Final answer
    x = 4,115.42

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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.