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Finding the Fourth Proportional to 8,130.42, 12,196.22 and 3,973.89

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Solution

The fourth proportional to 8,130.42, 12,196.22 and 3,973.89 is: 5,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.42 : 12,196.22 = 3,973.89 : x
  2. Step 2: Convert to fraction form
    8,130.42/12,196.22 = 3,973.89/x
  3. Step 3: Cross multiply
    8,130.42x = 12,196.22 × 3,973.89
  4. Step 4: Simplify right side
    8,130.42x = 48,466,416.83
  5. Step 5: Solve for x
    x = 48,466,416.83/8,130.42
  6. Step 6: Final answer
    x = 5,961.12

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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.