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Finding the Fourth Proportional to 9,494.67, 14,233.37 and 4,298.43

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Solution

The fourth proportional to 9,494.67, 14,233.37 and 4,298.43 is: 6,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.67 : 14,233.37 = 4,298.43 : x
  2. Step 2: Convert to fraction form
    9,494.67/14,233.37 = 4,298.43/x
  3. Step 3: Cross multiply
    9,494.67x = 14,233.37 × 4,298.43
  4. Step 4: Simplify right side
    9,494.67x = 61,181,123.12
  5. Step 5: Solve for x
    x = 61,181,123.12/9,494.67
  6. Step 6: Final answer
    x = 6,443.73

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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.