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Finding the Fourth Proportional to 9,341.69, 12,896.84 and 6,164.15

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Solution

The fourth proportional to 9,341.69, 12,896.84 and 6,164.15 is: 8,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.69 : 12,896.84 = 6,164.15 : x
  2. Step 2: Convert to fraction form
    9,341.69/12,896.84 = 6,164.15/x
  3. Step 3: Cross multiply
    9,341.69x = 12,896.84 × 6,164.15
  4. Step 4: Simplify right side
    9,341.69x = 79,498,007.21
  5. Step 5: Solve for x
    x = 79,498,007.21/9,341.69
  6. Step 6: Final answer
    x = 8,510.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.