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Finding the Fourth Proportional to 7,173.43, 9,896.58 and 5,289.50

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Solution

The fourth proportional to 7,173.43, 9,896.58 and 5,289.50 is: 7,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.43 : 9,896.58 = 5,289.50 : x
  2. Step 2: Convert to fraction form
    7,173.43/9,896.58 = 5,289.50/x
  3. Step 3: Cross multiply
    7,173.43x = 9,896.58 × 5,289.50
  4. Step 4: Simplify right side
    7,173.43x = 52,347,984.65
  5. Step 5: Solve for x
    x = 52,347,984.65/7,173.43
  6. Step 6: Final answer
    x = 7,297.49

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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.