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Finding the Fourth Proportional to 6,037.36, 9,011.64 and 5,614.32

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Solution

The fourth proportional to 6,037.36, 9,011.64 and 5,614.32 is: 8,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.36 : 9,011.64 = 5,614.32 : x
  2. Step 2: Convert to fraction form
    6,037.36/9,011.64 = 5,614.32/x
  3. Step 3: Cross multiply
    6,037.36x = 9,011.64 × 5,614.32
  4. Step 4: Simplify right side
    6,037.36x = 50,594,230.68
  5. Step 5: Solve for x
    x = 50,594,230.68/6,037.36
  6. Step 6: Final answer
    x = 8,380.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.