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Finding the Fourth Proportional to 9,843.67, 13,597.23 and 7,296.59

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Solution

The fourth proportional to 9,843.67, 13,597.23 and 7,296.59 is: 10,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.67 : 13,597.23 = 7,296.59 : x
  2. Step 2: Convert to fraction form
    9,843.67/13,597.23 = 7,296.59/x
  3. Step 3: Cross multiply
    9,843.67x = 13,597.23 × 7,296.59
  4. Step 4: Simplify right side
    9,843.67x = 99,213,412.45
  5. Step 5: Solve for x
    x = 99,213,412.45/9,843.67
  6. Step 6: Final answer
    x = 10,078.90

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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.