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Finding the Fourth Proportional to 6,032.34, 9,033.84 and 4,178.25

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Solution

The fourth proportional to 6,032.34, 9,033.84 and 4,178.25 is: 6,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.34 : 9,033.84 = 4,178.25 : x
  2. Step 2: Convert to fraction form
    6,032.34/9,033.84 = 4,178.25/x
  3. Step 3: Cross multiply
    6,032.34x = 9,033.84 × 4,178.25
  4. Step 4: Simplify right side
    6,032.34x = 37,745,641.98
  5. Step 5: Solve for x
    x = 37,745,641.98/6,032.34
  6. Step 6: Final answer
    x = 6,257.21

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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.