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Finding the Fourth Proportional to 8,771.44, 12,097.20 and 7,196.80

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Solution

The fourth proportional to 8,771.44, 12,097.20 and 7,196.80 is: 9,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.44 : 12,097.20 = 7,196.80 : x
  2. Step 2: Convert to fraction form
    8,771.44/12,097.20 = 7,196.80/x
  3. Step 3: Cross multiply
    8,771.44x = 12,097.20 × 7,196.80
  4. Step 4: Simplify right side
    8,771.44x = 87,061,128.96
  5. Step 5: Solve for x
    x = 87,061,128.96/8,771.44
  6. Step 6: Final answer
    x = 9,925.52

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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.