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Finding the Fourth Proportional to 6,299.11, 9,442.48 and 2,347.46

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Solution

The fourth proportional to 6,299.11, 9,442.48 and 2,347.46 is: 3,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.11 : 9,442.48 = 2,347.46 : x
  2. Step 2: Convert to fraction form
    6,299.11/9,442.48 = 2,347.46/x
  3. Step 3: Cross multiply
    6,299.11x = 9,442.48 × 2,347.46
  4. Step 4: Simplify right side
    6,299.11x = 22,165,844.10
  5. Step 5: Solve for x
    x = 22,165,844.10/6,299.11
  6. Step 6: Final answer
    x = 3,518.89

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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.