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Finding the Fourth Proportional to 9,729.96, 14,589.69 and 3,065.19

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Solution

The fourth proportional to 9,729.96, 14,589.69 and 3,065.19 is: 4,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.96 : 14,589.69 = 3,065.19 : x
  2. Step 2: Convert to fraction form
    9,729.96/14,589.69 = 3,065.19/x
  3. Step 3: Cross multiply
    9,729.96x = 14,589.69 × 3,065.19
  4. Step 4: Simplify right side
    9,729.96x = 44,720,171.89
  5. Step 5: Solve for x
    x = 44,720,171.89/9,729.96
  6. Step 6: Final answer
    x = 4,596.13

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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.