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Finding the Fourth Proportional to 9,633.39, 14,450.13 and 2,969.81

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Solution

The fourth proportional to 9,633.39, 14,450.13 and 2,969.81 is: 4,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.39 : 14,450.13 = 2,969.81 : x
  2. Step 2: Convert to fraction form
    9,633.39/14,450.13 = 2,969.81/x
  3. Step 3: Cross multiply
    9,633.39x = 14,450.13 × 2,969.81
  4. Step 4: Simplify right side
    9,633.39x = 42,914,068.32
  5. Step 5: Solve for x
    x = 42,914,068.32/9,633.39
  6. Step 6: Final answer
    x = 4,454.72

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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.