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Finding the Fourth Proportional to 9,286.65, 12,814.61 and 5,509.62

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Solution

The fourth proportional to 9,286.65, 12,814.61 and 5,509.62 is: 7,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.65 : 12,814.61 = 5,509.62 : x
  2. Step 2: Convert to fraction form
    9,286.65/12,814.61 = 5,509.62/x
  3. Step 3: Cross multiply
    9,286.65x = 12,814.61 × 5,509.62
  4. Step 4: Simplify right side
    9,286.65x = 70,603,604.00
  5. Step 5: Solve for x
    x = 70,603,604.00/9,286.65
  6. Step 6: Final answer
    x = 7,602.70

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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.