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Finding the Fourth Proportional to 9,520.40, 13,136.31 and 6,162.74

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Solution

The fourth proportional to 9,520.40, 13,136.31 and 6,162.74 is: 8,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.40 : 13,136.31 = 6,162.74 : x
  2. Step 2: Convert to fraction form
    9,520.40/13,136.31 = 6,162.74/x
  3. Step 3: Cross multiply
    9,520.40x = 13,136.31 × 6,162.74
  4. Step 4: Simplify right side
    9,520.40x = 80,955,663.09
  5. Step 5: Solve for x
    x = 80,955,663.09/9,520.40
  6. Step 6: Final answer
    x = 8,503.39

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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.