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Finding the Fourth Proportional to 9,638.16, 14,448.48 and 3,711.27

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Solution

The fourth proportional to 9,638.16, 14,448.48 and 3,711.27 is: 5,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.16 : 14,448.48 = 3,711.27 : x
  2. Step 2: Convert to fraction form
    9,638.16/14,448.48 = 3,711.27/x
  3. Step 3: Cross multiply
    9,638.16x = 14,448.48 × 3,711.27
  4. Step 4: Simplify right side
    9,638.16x = 53,622,210.37
  5. Step 5: Solve for x
    x = 53,622,210.37/9,638.16
  6. Step 6: Final answer
    x = 5,563.53

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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.