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Finding the Fourth Proportional to 9,494.34, 13,101.05 and 5,245.14

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Solution

The fourth proportional to 9,494.34, 13,101.05 and 5,245.14 is: 7,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.34 : 13,101.05 = 5,245.14 : x
  2. Step 2: Convert to fraction form
    9,494.34/13,101.05 = 5,245.14/x
  3. Step 3: Cross multiply
    9,494.34x = 13,101.05 × 5,245.14
  4. Step 4: Simplify right side
    9,494.34x = 68,716,775.89
  5. Step 5: Solve for x
    x = 68,716,775.89/9,494.34
  6. Step 6: Final answer
    x = 7,237.66

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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.