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Finding the Fourth Proportional to 6,182.40, 9,276.30 and 2,893.80

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Solution

The fourth proportional to 6,182.40, 9,276.30 and 2,893.80 is: 4,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.40 : 9,276.30 = 2,893.80 : x
  2. Step 2: Convert to fraction form
    6,182.40/9,276.30 = 2,893.80/x
  3. Step 3: Cross multiply
    6,182.40x = 9,276.30 × 2,893.80
  4. Step 4: Simplify right side
    6,182.40x = 26,843,756.94
  5. Step 5: Solve for x
    x = 26,843,756.94/6,182.40
  6. Step 6: Final answer
    x = 4,341.96

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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.