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Finding the Fourth Proportional to 9,494.49, 13,102.33 and 5,245.84

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Solution

The fourth proportional to 9,494.49, 13,102.33 and 5,245.84 is: 7,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.49 : 13,102.33 = 5,245.84 : x
  2. Step 2: Convert to fraction form
    9,494.49/13,102.33 = 5,245.84/x
  3. Step 3: Cross multiply
    9,494.49x = 13,102.33 × 5,245.84
  4. Step 4: Simplify right side
    9,494.49x = 68,732,726.81
  5. Step 5: Solve for x
    x = 68,732,726.81/9,494.49
  6. Step 6: Final answer
    x = 7,239.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.