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Finding the Fourth Proportional to 9,007.71, 13,511.57 and 3,162.96

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Solution

The fourth proportional to 9,007.71, 13,511.57 and 3,162.96 is: 4,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.71 : 13,511.57 = 3,162.96 : x
  2. Step 2: Convert to fraction form
    9,007.71/13,511.57 = 3,162.96/x
  3. Step 3: Cross multiply
    9,007.71x = 13,511.57 × 3,162.96
  4. Step 4: Simplify right side
    9,007.71x = 42,736,539.63
  5. Step 5: Solve for x
    x = 42,736,539.63/9,007.71
  6. Step 6: Final answer
    x = 4,744.44

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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.