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Finding the Fourth Proportional to 6,178.04, 9,267.06 and 2,893.44

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Solution

The fourth proportional to 6,178.04, 9,267.06 and 2,893.44 is: 4,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.04 : 9,267.06 = 2,893.44 : x
  2. Step 2: Convert to fraction form
    6,178.04/9,267.06 = 2,893.44/x
  3. Step 3: Cross multiply
    6,178.04x = 9,267.06 × 2,893.44
  4. Step 4: Simplify right side
    6,178.04x = 26,813,682.09
  5. Step 5: Solve for x
    x = 26,813,682.09/6,178.04
  6. Step 6: Final answer
    x = 4,340.16

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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.