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Finding the Fourth Proportional to 6,282.74, 9,424.44 and 4,442.06

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Solution

The fourth proportional to 6,282.74, 9,424.44 and 4,442.06 is: 6,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.74 : 9,424.44 = 4,442.06 : x
  2. Step 2: Convert to fraction form
    6,282.74/9,424.44 = 4,442.06/x
  3. Step 3: Cross multiply
    6,282.74x = 9,424.44 × 4,442.06
  4. Step 4: Simplify right side
    6,282.74x = 41,863,951.51
  5. Step 5: Solve for x
    x = 41,863,951.51/6,282.74
  6. Step 6: Final answer
    x = 6,663.32

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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.