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Finding the Fourth Proportional to 9,627.25, 14,440.88 and 3,471.25

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Solution

The fourth proportional to 9,627.25, 14,440.88 and 3,471.25 is: 5,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.25 : 14,440.88 = 3,471.25 : x
  2. Step 2: Convert to fraction form
    9,627.25/14,440.88 = 3,471.25/x
  3. Step 3: Cross multiply
    9,627.25x = 14,440.88 × 3,471.25
  4. Step 4: Simplify right side
    9,627.25x = 50,127,904.70
  5. Step 5: Solve for x
    x = 50,127,904.70/9,627.25
  6. Step 6: Final answer
    x = 5,206.88

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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.