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Finding the Fourth Proportional to 9,758.27, 14,635.91 and 3,184.44

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Solution

The fourth proportional to 9,758.27, 14,635.91 and 3,184.44 is: 4,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.27 : 14,635.91 = 3,184.44 : x
  2. Step 2: Convert to fraction form
    9,758.27/14,635.91 = 3,184.44/x
  3. Step 3: Cross multiply
    9,758.27x = 14,635.91 × 3,184.44
  4. Step 4: Simplify right side
    9,758.27x = 46,607,161.32
  5. Step 5: Solve for x
    x = 46,607,161.32/9,758.27
  6. Step 6: Final answer
    x = 4,776.17

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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.