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Finding the Fourth Proportional to 9,196.41, 13,789.06 and 4,129.68

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Solution

The fourth proportional to 9,196.41, 13,789.06 and 4,129.68 is: 6,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.41 : 13,789.06 = 4,129.68 : x
  2. Step 2: Convert to fraction form
    9,196.41/13,789.06 = 4,129.68/x
  3. Step 3: Cross multiply
    9,196.41x = 13,789.06 × 4,129.68
  4. Step 4: Simplify right side
    9,196.41x = 56,944,405.30
  5. Step 5: Solve for x
    x = 56,944,405.30/9,196.41
  6. Step 6: Final answer
    x = 6,192.03

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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.