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Finding the Fourth Proportional to 9,794.64, 14,690.52 and 3,131.88

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Solution

The fourth proportional to 9,794.64, 14,690.52 and 3,131.88 is: 4,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.64 : 14,690.52 = 3,131.88 : x
  2. Step 2: Convert to fraction form
    9,794.64/14,690.52 = 3,131.88/x
  3. Step 3: Cross multiply
    9,794.64x = 14,690.52 × 3,131.88
  4. Step 4: Simplify right side
    9,794.64x = 46,008,982.13
  5. Step 5: Solve for x
    x = 46,008,982.13/9,794.64
  6. Step 6: Final answer
    x = 4,697.36

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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.