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Finding the Fourth Proportional to 9,729.58, 14,594.67 and 3,806.23

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Solution

The fourth proportional to 9,729.58, 14,594.67 and 3,806.23 is: 5,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.58 : 14,594.67 = 3,806.23 : x
  2. Step 2: Convert to fraction form
    9,729.58/14,594.67 = 3,806.23/x
  3. Step 3: Cross multiply
    9,729.58x = 14,594.67 × 3,806.23
  4. Step 4: Simplify right side
    9,729.58x = 55,550,670.79
  5. Step 5: Solve for x
    x = 55,550,670.79/9,729.58
  6. Step 6: Final answer
    x = 5,709.46

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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.