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Finding the Fourth Proportional to 6,399.12, 9,606.96 and 5,021.40

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Solution

The fourth proportional to 6,399.12, 9,606.96 and 5,021.40 is: 7,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.12 : 9,606.96 = 5,021.40 : x
  2. Step 2: Convert to fraction form
    6,399.12/9,606.96 = 5,021.40/x
  3. Step 3: Cross multiply
    6,399.12x = 9,606.96 × 5,021.40
  4. Step 4: Simplify right side
    6,399.12x = 48,240,388.94
  5. Step 5: Solve for x
    x = 48,240,388.94/6,399.12
  6. Step 6: Final answer
    x = 7,538.60

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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.