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Finding the Fourth Proportional to 9,461.10, 14,184.09 and 3,917.19

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Solution

The fourth proportional to 9,461.10, 14,184.09 and 3,917.19 is: 5,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.10 : 14,184.09 = 3,917.19 : x
  2. Step 2: Convert to fraction form
    9,461.10/14,184.09 = 3,917.19/x
  3. Step 3: Cross multiply
    9,461.10x = 14,184.09 × 3,917.19
  4. Step 4: Simplify right side
    9,461.10x = 55,561,775.51
  5. Step 5: Solve for x
    x = 55,561,775.51/9,461.10
  6. Step 6: Final answer
    x = 5,872.65

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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.