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Finding the Fourth Proportional to 9,494.13, 13,101.84 and 5,245.48

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Solution

The fourth proportional to 9,494.13, 13,101.84 and 5,245.48 is: 7,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.13 : 13,101.84 = 5,245.48 : x
  2. Step 2: Convert to fraction form
    9,494.13/13,101.84 = 5,245.48/x
  3. Step 3: Cross multiply
    9,494.13x = 13,101.84 × 5,245.48
  4. Step 4: Simplify right side
    9,494.13x = 68,725,374.17
  5. Step 5: Solve for x
    x = 68,725,374.17/9,494.13
  6. Step 6: Final answer
    x = 7,238.73

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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.