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Finding the Fourth Proportional to 9,496.98, 13,105.53 and 6,668.46

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Solution

The fourth proportional to 9,496.98, 13,105.53 and 6,668.46 is: 9,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.98 : 13,105.53 = 6,668.46 : x
  2. Step 2: Convert to fraction form
    9,496.98/13,105.53 = 6,668.46/x
  3. Step 3: Cross multiply
    9,496.98x = 13,105.53 × 6,668.46
  4. Step 4: Simplify right side
    9,496.98x = 87,393,702.58
  5. Step 5: Solve for x
    x = 87,393,702.58/9,496.98
  6. Step 6: Final answer
    x = 9,202.26

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