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Finding the Fourth Proportional to 6,025.20, 9,050.64 and 5,102.64

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Solution

The fourth proportional to 6,025.20, 9,050.64 and 5,102.64 is: 7,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.20 : 9,050.64 = 5,102.64 : x
  2. Step 2: Convert to fraction form
    6,025.20/9,050.64 = 5,102.64/x
  3. Step 3: Cross multiply
    6,025.20x = 9,050.64 × 5,102.64
  4. Step 4: Simplify right side
    6,025.20x = 46,182,157.69
  5. Step 5: Solve for x
    x = 46,182,157.69/6,025.20
  6. Step 6: Final answer
    x = 7,664.83

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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.