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Finding the Fourth Proportional to 6,307.82, 9,466.28 and 2,412.23

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Solution

The fourth proportional to 6,307.82, 9,466.28 and 2,412.23 is: 3,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.82 : 9,466.28 = 2,412.23 : x
  2. Step 2: Convert to fraction form
    6,307.82/9,466.28 = 2,412.23/x
  3. Step 3: Cross multiply
    6,307.82x = 9,466.28 × 2,412.23
  4. Step 4: Simplify right side
    6,307.82x = 22,834,832.54
  5. Step 5: Solve for x
    x = 22,834,832.54/6,307.82
  6. Step 6: Final answer
    x = 3,620.09

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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.