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Finding the Fourth Proportional to 9,449.64, 14,175.98 and 3,209.00

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Solution

The fourth proportional to 9,449.64, 14,175.98 and 3,209.00 is: 4,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.64 : 14,175.98 = 3,209.00 : x
  2. Step 2: Convert to fraction form
    9,449.64/14,175.98 = 3,209.00/x
  3. Step 3: Cross multiply
    9,449.64x = 14,175.98 × 3,209.00
  4. Step 4: Simplify right side
    9,449.64x = 45,490,632.90
  5. Step 5: Solve for x
    x = 45,490,632.90/9,449.64
  6. Step 6: Final answer
    x = 4,814.01

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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.