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Finding the Fourth Proportional to 9,741.67, 14,608.85 and 7,685.89

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Solution

The fourth proportional to 9,741.67, 14,608.85 and 7,685.89 is: 11,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.67 : 14,608.85 = 7,685.89 : x
  2. Step 2: Convert to fraction form
    9,741.67/14,608.85 = 7,685.89/x
  3. Step 3: Cross multiply
    9,741.67x = 14,608.85 × 7,685.89
  4. Step 4: Simplify right side
    9,741.67x = 112,282,014.13
  5. Step 5: Solve for x
    x = 112,282,014.13/9,741.67
  6. Step 6: Final answer
    x = 11,525.95

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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.