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Finding the Fourth Proportional to 9,705.42, 14,559.09 and 3,860.66

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Solution

The fourth proportional to 9,705.42, 14,559.09 and 3,860.66 is: 5,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.42 : 14,559.09 = 3,860.66 : x
  2. Step 2: Convert to fraction form
    9,705.42/14,559.09 = 3,860.66/x
  3. Step 3: Cross multiply
    9,705.42x = 14,559.09 × 3,860.66
  4. Step 4: Simplify right side
    9,705.42x = 56,207,604.30
  5. Step 5: Solve for x
    x = 56,207,604.30/9,705.42
  6. Step 6: Final answer
    x = 5,791.37

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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.