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Finding the Fourth Proportional to 9,137.28, 12,609.51 and 4,945.53

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Solution

The fourth proportional to 9,137.28, 12,609.51 and 4,945.53 is: 6,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.28 : 12,609.51 = 4,945.53 : x
  2. Step 2: Convert to fraction form
    9,137.28/12,609.51 = 4,945.53/x
  3. Step 3: Cross multiply
    9,137.28x = 12,609.51 × 4,945.53
  4. Step 4: Simplify right side
    9,137.28x = 62,360,709.99
  5. Step 5: Solve for x
    x = 62,360,709.99/9,137.28
  6. Step 6: Final answer
    x = 6,824.87

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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.