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Finding the Fourth Proportional to 9,096.59, 13,618.76 and 8,146.86

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Solution

The fourth proportional to 9,096.59, 13,618.76 and 8,146.86 is: 12,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.59 : 13,618.76 = 8,146.86 : x
  2. Step 2: Convert to fraction form
    9,096.59/13,618.76 = 8,146.86/x
  3. Step 3: Cross multiply
    9,096.59x = 13,618.76 × 8,146.86
  4. Step 4: Simplify right side
    9,096.59x = 110,950,090.36
  5. Step 5: Solve for x
    x = 110,950,090.36/9,096.59
  6. Step 6: Final answer
    x = 12,196.89

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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.