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Finding the Fourth Proportional to 9,096.34, 13,645.09 and 2,856.60

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Solution

The fourth proportional to 9,096.34, 13,645.09 and 2,856.60 is: 4,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.34 : 13,645.09 = 2,856.60 : x
  2. Step 2: Convert to fraction form
    9,096.34/13,645.09 = 2,856.60/x
  3. Step 3: Cross multiply
    9,096.34x = 13,645.09 × 2,856.60
  4. Step 4: Simplify right side
    9,096.34x = 38,978,564.09
  5. Step 5: Solve for x
    x = 38,978,564.09/9,096.34
  6. Step 6: Final answer
    x = 4,285.08

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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.