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Finding the Fourth Proportional to 9,196.96, 12,693.04 and 8,946.80

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Solution

The fourth proportional to 9,196.96, 12,693.04 and 8,946.80 is: 12,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.96 : 12,693.04 = 8,946.80 : x
  2. Step 2: Convert to fraction form
    9,196.96/12,693.04 = 8,946.80/x
  3. Step 3: Cross multiply
    9,196.96x = 12,693.04 × 8,946.80
  4. Step 4: Simplify right side
    9,196.96x = 113,562,090.27
  5. Step 5: Solve for x
    x = 113,562,090.27/9,196.96
  6. Step 6: Final answer
    x = 12,347.79

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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.