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Finding the Fourth Proportional to 9,475.28, 14,201.40 and 3,314

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Solution

The fourth proportional to 9,475.28, 14,201.40 and 3,314 is: 4,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.28 : 14,201.40 = 3,314 : x
  2. Step 2: Convert to fraction form
    9,475.28/14,201.40 = 3,314/x
  3. Step 3: Cross multiply
    9,475.28x = 14,201.40 × 3,314
  4. Step 4: Simplify right side
    9,475.28x = 47,063,439.60
  5. Step 5: Solve for x
    x = 47,063,439.60/9,475.28
  6. Step 6: Final answer
    x = 4,966.97

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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.