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Finding the Fourth Proportional to 9,483.36, 14,224.24 and 3,638.40

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Solution

The fourth proportional to 9,483.36, 14,224.24 and 3,638.40 is: 5,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.36 : 14,224.24 = 3,638.40 : x
  2. Step 2: Convert to fraction form
    9,483.36/14,224.24 = 3,638.40/x
  3. Step 3: Cross multiply
    9,483.36x = 14,224.24 × 3,638.40
  4. Step 4: Simplify right side
    9,483.36x = 51,753,474.82
  5. Step 5: Solve for x
    x = 51,753,474.82/9,483.36
  6. Step 6: Final answer
    x = 5,457.29

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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.