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Finding the Fourth Proportional to 6,308.25, 9,466.02 and 2,845.50

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Solution

The fourth proportional to 6,308.25, 9,466.02 and 2,845.50 is: 4,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.25 : 9,466.02 = 2,845.50 : x
  2. Step 2: Convert to fraction form
    6,308.25/9,466.02 = 2,845.50/x
  3. Step 3: Cross multiply
    6,308.25x = 9,466.02 × 2,845.50
  4. Step 4: Simplify right side
    6,308.25x = 26,935,559.91
  5. Step 5: Solve for x
    x = 26,935,559.91/6,308.25
  6. Step 6: Final answer
    x = 4,269.89

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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.