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Finding the Fourth Proportional to 9,997.40, 15,005.16 and 5,321.34

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Solution

The fourth proportional to 9,997.40, 15,005.16 and 5,321.34 is: 7,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.40 : 15,005.16 = 5,321.34 : x
  2. Step 2: Convert to fraction form
    9,997.40/15,005.16 = 5,321.34/x
  3. Step 3: Cross multiply
    9,997.40x = 15,005.16 × 5,321.34
  4. Step 4: Simplify right side
    9,997.40x = 79,847,558.11
  5. Step 5: Solve for x
    x = 79,847,558.11/9,997.40
  6. Step 6: Final answer
    x = 7,986.84

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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.