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Finding the Fourth Proportional to 9,683.88, 13,361.69 and 5,703.54

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Solution

The fourth proportional to 9,683.88, 13,361.69 and 5,703.54 is: 7,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.88 : 13,361.69 = 5,703.54 : x
  2. Step 2: Convert to fraction form
    9,683.88/13,361.69 = 5,703.54/x
  3. Step 3: Cross multiply
    9,683.88x = 13,361.69 × 5,703.54
  4. Step 4: Simplify right side
    9,683.88x = 76,208,933.38
  5. Step 5: Solve for x
    x = 76,208,933.38/9,683.88
  6. Step 6: Final answer
    x = 7,869.67

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Why These Related Problems?

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