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Finding the Fourth Proportional to 9,284.36, 12,814.18 and 5,509.62

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Solution

The fourth proportional to 9,284.36, 12,814.18 and 5,509.62 is: 7,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.36 : 12,814.18 = 5,509.62 : x
  2. Step 2: Convert to fraction form
    9,284.36/12,814.18 = 5,509.62/x
  3. Step 3: Cross multiply
    9,284.36x = 12,814.18 × 5,509.62
  4. Step 4: Simplify right side
    9,284.36x = 70,601,262.41
  5. Step 5: Solve for x
    x = 70,601,262.41/9,284.36
  6. Step 6: Final answer
    x = 7,604.32

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Why These Related Problems?

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