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Finding the Fourth Proportional to 6,032.68, 9,037.24 and 4,158.24

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Solution

The fourth proportional to 6,032.68, 9,037.24 and 4,158.24 is: 6,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.68 : 9,037.24 = 4,158.24 : x
  2. Step 2: Convert to fraction form
    6,032.68/9,037.24 = 4,158.24/x
  3. Step 3: Cross multiply
    6,032.68x = 9,037.24 × 4,158.24
  4. Step 4: Simplify right side
    6,032.68x = 37,579,012.86
  5. Step 5: Solve for x
    x = 37,579,012.86/6,032.68
  6. Step 6: Final answer
    x = 6,229.24

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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.