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Finding the Fourth Proportional to 9,828.48, 14,742.24 and 3,672

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Solution

The fourth proportional to 9,828.48, 14,742.24 and 3,672 is: 5,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.48 : 14,742.24 = 3,672 : x
  2. Step 2: Convert to fraction form
    9,828.48/14,742.24 = 3,672/x
  3. Step 3: Cross multiply
    9,828.48x = 14,742.24 × 3,672
  4. Step 4: Simplify right side
    9,828.48x = 54,133,505.28
  5. Step 5: Solve for x
    x = 54,133,505.28/9,828.48
  6. Step 6: Final answer
    x = 5,507.82

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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.