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Finding the Fourth Proportional to 8,289.36, 12,434.04 and 3,095.64

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Solution

The fourth proportional to 8,289.36, 12,434.04 and 3,095.64 is: 4,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.36 : 12,434.04 = 3,095.64 : x
  2. Step 2: Convert to fraction form
    8,289.36/12,434.04 = 3,095.64/x
  3. Step 3: Cross multiply
    8,289.36x = 12,434.04 × 3,095.64
  4. Step 4: Simplify right side
    8,289.36x = 38,491,311.59
  5. Step 5: Solve for x
    x = 38,491,311.59/8,289.36
  6. Step 6: Final answer
    x = 4,643.46

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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.