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Finding the Fourth Proportional to 9,683.65, 13,363.02 and 5,704.93

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Solution

The fourth proportional to 9,683.65, 13,363.02 and 5,704.93 is: 7,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.65 : 13,363.02 = 5,704.93 : x
  2. Step 2: Convert to fraction form
    9,683.65/13,363.02 = 5,704.93/x
  3. Step 3: Cross multiply
    9,683.65x = 13,363.02 × 5,704.93
  4. Step 4: Simplify right side
    9,683.65x = 76,235,093.69
  5. Step 5: Solve for x
    x = 76,235,093.69/9,683.65
  6. Step 6: Final answer
    x = 7,872.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.