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Finding the Fourth Proportional to 6,299.10, 9,448.65 and 5,327.10

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Solution

The fourth proportional to 6,299.10, 9,448.65 and 5,327.10 is: 7,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.10 : 9,448.65 = 5,327.10 : x
  2. Step 2: Convert to fraction form
    6,299.10/9,448.65 = 5,327.10/x
  3. Step 3: Cross multiply
    6,299.10x = 9,448.65 × 5,327.10
  4. Step 4: Simplify right side
    6,299.10x = 50,333,903.42
  5. Step 5: Solve for x
    x = 50,333,903.42/6,299.10
  6. Step 6: Final answer
    x = 7,990.65

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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.