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Finding the Fourth Proportional to 6,029.68, 9,032.74 and 4,155.24

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Solution

The fourth proportional to 6,029.68, 9,032.74 and 4,155.24 is: 6,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.68 : 9,032.74 = 4,155.24 : x
  2. Step 2: Convert to fraction form
    6,029.68/9,032.74 = 4,155.24/x
  3. Step 3: Cross multiply
    6,029.68x = 9,032.74 × 4,155.24
  4. Step 4: Simplify right side
    6,029.68x = 37,533,202.56
  5. Step 5: Solve for x
    x = 37,533,202.56/6,029.68
  6. Step 6: Final answer
    x = 6,224.74

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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.