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Finding the Fourth Proportional to 9,287.41, 13,927.65 and 3,738.88

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Solution

The fourth proportional to 9,287.41, 13,927.65 and 3,738.88 is: 5,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.41 : 13,927.65 = 3,738.88 : x
  2. Step 2: Convert to fraction form
    9,287.41/13,927.65 = 3,738.88/x
  3. Step 3: Cross multiply
    9,287.41x = 13,927.65 × 3,738.88
  4. Step 4: Simplify right side
    9,287.41x = 52,073,812.03
  5. Step 5: Solve for x
    x = 52,073,812.03/9,287.41
  6. Step 6: Final answer
    x = 5,606.93

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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.