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Finding the Fourth Proportional to 9,504.28, 13,114.76 and 5,254.76

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Solution

The fourth proportional to 9,504.28, 13,114.76 and 5,254.76 is: 7,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.28 : 13,114.76 = 5,254.76 : x
  2. Step 2: Convert to fraction form
    9,504.28/13,114.76 = 5,254.76/x
  3. Step 3: Cross multiply
    9,504.28x = 13,114.76 × 5,254.76
  4. Step 4: Simplify right side
    9,504.28x = 68,914,850.68
  5. Step 5: Solve for x
    x = 68,914,850.68/9,504.28
  6. Step 6: Final answer
    x = 7,250.93

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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.