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Finding the Fourth Proportional to 9,672.30, 14,476.05 and 8,505.90

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Solution

The fourth proportional to 9,672.30, 14,476.05 and 8,505.90 is: 12,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.30 : 14,476.05 = 8,505.90 : x
  2. Step 2: Convert to fraction form
    9,672.30/14,476.05 = 8,505.90/x
  3. Step 3: Cross multiply
    9,672.30x = 14,476.05 × 8,505.90
  4. Step 4: Simplify right side
    9,672.30x = 123,131,833.70
  5. Step 5: Solve for x
    x = 123,131,833.70/9,672.30
  6. Step 6: Final answer
    x = 12,730.36

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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.