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Finding the Fourth Proportional to 6,025.44, 9,038.04 and 1,642.84

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Solution

The fourth proportional to 6,025.44, 9,038.04 and 1,642.84 is: 2,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.44 : 9,038.04 = 1,642.84 : x
  2. Step 2: Convert to fraction form
    6,025.44/9,038.04 = 1,642.84/x
  3. Step 3: Cross multiply
    6,025.44x = 9,038.04 × 1,642.84
  4. Step 4: Simplify right side
    6,025.44x = 14,848,053.63
  5. Step 5: Solve for x
    x = 14,848,053.63/6,025.44
  6. Step 6: Final answer
    x = 2,464.23

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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.