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Finding the Fourth Proportional to 8,130.94, 12,196.13 and 3,447.93

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Solution

The fourth proportional to 8,130.94, 12,196.13 and 3,447.93 is: 5,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.94 : 12,196.13 = 3,447.93 : x
  2. Step 2: Convert to fraction form
    8,130.94/12,196.13 = 3,447.93/x
  3. Step 3: Cross multiply
    8,130.94x = 12,196.13 × 3,447.93
  4. Step 4: Simplify right side
    8,130.94x = 42,051,402.51
  5. Step 5: Solve for x
    x = 42,051,402.51/8,130.94
  6. Step 6: Final answer
    x = 5,171.78

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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.