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Finding the Fourth Proportional to 9,493.88, 13,101.76 and 5,302.12

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Solution

The fourth proportional to 9,493.88, 13,101.76 and 5,302.12 is: 7,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.88 : 13,101.76 = 5,302.12 : x
  2. Step 2: Convert to fraction form
    9,493.88/13,101.76 = 5,302.12/x
  3. Step 3: Cross multiply
    9,493.88x = 13,101.76 × 5,302.12
  4. Step 4: Simplify right side
    9,493.88x = 69,467,103.73
  5. Step 5: Solve for x
    x = 69,467,103.73/9,493.88
  6. Step 6: Final answer
    x = 7,317.04

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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.