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Finding the Fourth Proportional to 9,164.05, 12,640.59 and 5,808.83

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Solution

The fourth proportional to 9,164.05, 12,640.59 and 5,808.83 is: 8,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.05 : 12,640.59 = 5,808.83 : x
  2. Step 2: Convert to fraction form
    9,164.05/12,640.59 = 5,808.83/x
  3. Step 3: Cross multiply
    9,164.05x = 12,640.59 × 5,808.83
  4. Step 4: Simplify right side
    9,164.05x = 73,426,975.21
  5. Step 5: Solve for x
    x = 73,426,975.21/9,164.05
  6. Step 6: Final answer
    x = 8,012.50

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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.