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Finding the Fourth Proportional to 9,464.52, 14,198.50 and 3,914.86

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Solution

The fourth proportional to 9,464.52, 14,198.50 and 3,914.86 is: 5,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.52 : 14,198.50 = 3,914.86 : x
  2. Step 2: Convert to fraction form
    9,464.52/14,198.50 = 3,914.86/x
  3. Step 3: Cross multiply
    9,464.52x = 14,198.50 × 3,914.86
  4. Step 4: Simplify right side
    9,464.52x = 55,585,139.71
  5. Step 5: Solve for x
    x = 55,585,139.71/9,464.52
  6. Step 6: Final answer
    x = 5,873.00

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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.