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Finding the Fourth Proportional to 9,576.84, 14,380.38 and 5,698.56

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Solution

The fourth proportional to 9,576.84, 14,380.38 and 5,698.56 is: 8,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.84 : 14,380.38 = 5,698.56 : x
  2. Step 2: Convert to fraction form
    9,576.84/14,380.38 = 5,698.56/x
  3. Step 3: Cross multiply
    9,576.84x = 14,380.38 × 5,698.56
  4. Step 4: Simplify right side
    9,576.84x = 81,947,458.25
  5. Step 5: Solve for x
    x = 81,947,458.25/9,576.84
  6. Step 6: Final answer
    x = 8,556.84

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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.