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Finding the Fourth Proportional to 9,574.41, 14,340.84 and 4,633.70

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Solution

The fourth proportional to 9,574.41, 14,340.84 and 4,633.70 is: 6,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.41 : 14,340.84 = 4,633.70 : x
  2. Step 2: Convert to fraction form
    9,574.41/14,340.84 = 4,633.70/x
  3. Step 3: Cross multiply
    9,574.41x = 14,340.84 × 4,633.70
  4. Step 4: Simplify right side
    9,574.41x = 66,451,078.60
  5. Step 5: Solve for x
    x = 66,451,078.60/9,574.41
  6. Step 6: Final answer
    x = 6,940.49

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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.