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Finding the Fourth Proportional to 6,299.36, 9,435.54 and 5,123.78

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Solution

The fourth proportional to 6,299.36, 9,435.54 and 5,123.78 is: 7,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.36 : 9,435.54 = 5,123.78 : x
  2. Step 2: Convert to fraction form
    6,299.36/9,435.54 = 5,123.78/x
  3. Step 3: Cross multiply
    6,299.36x = 9,435.54 × 5,123.78
  4. Step 4: Simplify right side
    6,299.36x = 48,345,631.14
  5. Step 5: Solve for x
    x = 48,345,631.14/6,299.36
  6. Step 6: Final answer
    x = 7,674.69

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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.