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Finding the Fourth Proportional to 6,204.94, 9,309.03 and 2,045.58

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Solution

The fourth proportional to 6,204.94, 9,309.03 and 2,045.58 is: 3,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.94 : 9,309.03 = 2,045.58 : x
  2. Step 2: Convert to fraction form
    6,204.94/9,309.03 = 2,045.58/x
  3. Step 3: Cross multiply
    6,204.94x = 9,309.03 × 2,045.58
  4. Step 4: Simplify right side
    6,204.94x = 19,042,365.59
  5. Step 5: Solve for x
    x = 19,042,365.59/6,204.94
  6. Step 6: Final answer
    x = 3,068.90

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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.