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Finding the Fourth Proportional to 8,709.69, 13,071.96 and 3,783.27

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Solution

The fourth proportional to 8,709.69, 13,071.96 and 3,783.27 is: 5,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.69 : 13,071.96 = 3,783.27 : x
  2. Step 2: Convert to fraction form
    8,709.69/13,071.96 = 3,783.27/x
  3. Step 3: Cross multiply
    8,709.69x = 13,071.96 × 3,783.27
  4. Step 4: Simplify right side
    8,709.69x = 49,454,754.11
  5. Step 5: Solve for x
    x = 49,454,754.11/8,709.69
  6. Step 6: Final answer
    x = 5,678.13

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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.