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Finding the Fourth Proportional to 9,096.89, 13,650.64 and 3,549.95

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Solution

The fourth proportional to 9,096.89, 13,650.64 and 3,549.95 is: 5,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.89 : 13,650.64 = 3,549.95 : x
  2. Step 2: Convert to fraction form
    9,096.89/13,650.64 = 3,549.95/x
  3. Step 3: Cross multiply
    9,096.89x = 13,650.64 × 3,549.95
  4. Step 4: Simplify right side
    9,096.89x = 48,459,020.53
  5. Step 5: Solve for x
    x = 48,459,020.53/9,096.89
  6. Step 6: Final answer
    x = 5,326.98

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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.