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Finding the Fourth Proportional to 9,453.48, 14,181.16 and 3,615

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Solution

The fourth proportional to 9,453.48, 14,181.16 and 3,615 is: 5,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.48 : 14,181.16 = 3,615 : x
  2. Step 2: Convert to fraction form
    9,453.48/14,181.16 = 3,615/x
  3. Step 3: Cross multiply
    9,453.48x = 14,181.16 × 3,615
  4. Step 4: Simplify right side
    9,453.48x = 51,264,893.40
  5. Step 5: Solve for x
    x = 51,264,893.40/9,453.48
  6. Step 6: Final answer
    x = 5,422.86

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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.