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Finding the Fourth Proportional to 9,489.56, 13,096.10 and 5,511.92

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Solution

The fourth proportional to 9,489.56, 13,096.10 and 5,511.92 is: 7,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.56 : 13,096.10 = 5,511.92 : x
  2. Step 2: Convert to fraction form
    9,489.56/13,096.10 = 5,511.92/x
  3. Step 3: Cross multiply
    9,489.56x = 13,096.10 × 5,511.92
  4. Step 4: Simplify right side
    9,489.56x = 72,184,655.51
  5. Step 5: Solve for x
    x = 72,184,655.51/9,489.56
  6. Step 6: Final answer
    x = 7,606.74

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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.