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Finding the Fourth Proportional to 9,194.53, 12,688.74 and 5,659.78

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Solution

The fourth proportional to 9,194.53, 12,688.74 and 5,659.78 is: 7,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.53 : 12,688.74 = 5,659.78 : x
  2. Step 2: Convert to fraction form
    9,194.53/12,688.74 = 5,659.78/x
  3. Step 3: Cross multiply
    9,194.53x = 12,688.74 × 5,659.78
  4. Step 4: Simplify right side
    9,194.53x = 71,815,476.88
  5. Step 5: Solve for x
    x = 71,815,476.88/9,194.53
  6. Step 6: Final answer
    x = 7,810.67

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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.