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Finding the Fourth Proportional to 9,007.84, 13,511.76 and 2,434.19

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Solution

The fourth proportional to 9,007.84, 13,511.76 and 2,434.19 is: 3,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.84 : 13,511.76 = 2,434.19 : x
  2. Step 2: Convert to fraction form
    9,007.84/13,511.76 = 2,434.19/x
  3. Step 3: Cross multiply
    9,007.84x = 13,511.76 × 2,434.19
  4. Step 4: Simplify right side
    9,007.84x = 32,890,224.85
  5. Step 5: Solve for x
    x = 32,890,224.85/9,007.84
  6. Step 6: Final answer
    x = 3,651.29

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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.