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Finding the Fourth Proportional to 9,664.59, 14,479.83 and 8,465.25

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Solution

The fourth proportional to 9,664.59, 14,479.83 and 8,465.25 is: 12,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.59 : 14,479.83 = 8,465.25 : x
  2. Step 2: Convert to fraction form
    9,664.59/14,479.83 = 8,465.25/x
  3. Step 3: Cross multiply
    9,664.59x = 14,479.83 × 8,465.25
  4. Step 4: Simplify right side
    9,664.59x = 122,575,380.91
  5. Step 5: Solve for x
    x = 122,575,380.91/9,664.59
  6. Step 6: Final answer
    x = 12,682.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.