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Finding the Fourth Proportional to 6,296.05, 9,442.37 and 3,330.47

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Solution

The fourth proportional to 6,296.05, 9,442.37 and 3,330.47 is: 4,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.05 : 9,442.37 = 3,330.47 : x
  2. Step 2: Convert to fraction form
    6,296.05/9,442.37 = 3,330.47/x
  3. Step 3: Cross multiply
    6,296.05x = 9,442.37 × 3,330.47
  4. Step 4: Simplify right side
    6,296.05x = 31,447,508.83
  5. Step 5: Solve for x
    x = 31,447,508.83/6,296.05
  6. Step 6: Final answer
    x = 4,994.80

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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.