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Finding the Fourth Proportional to 9,461.64, 14,184.21 and 3,911.52

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Solution

The fourth proportional to 9,461.64, 14,184.21 and 3,911.52 is: 5,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.64 : 14,184.21 = 3,911.52 : x
  2. Step 2: Convert to fraction form
    9,461.64/14,184.21 = 3,911.52/x
  3. Step 3: Cross multiply
    9,461.64x = 14,184.21 × 3,911.52
  4. Step 4: Simplify right side
    9,461.64x = 55,481,821.10
  5. Step 5: Solve for x
    x = 55,481,821.10/9,461.64
  6. Step 6: Final answer
    x = 5,863.87

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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.