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Finding the Fourth Proportional to 9,773.08, 13,486.81 and 5,296.94

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Solution

The fourth proportional to 9,773.08, 13,486.81 and 5,296.94 is: 7,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.08 : 13,486.81 = 5,296.94 : x
  2. Step 2: Convert to fraction form
    9,773.08/13,486.81 = 5,296.94/x
  3. Step 3: Cross multiply
    9,773.08x = 13,486.81 × 5,296.94
  4. Step 4: Simplify right side
    9,773.08x = 71,438,823.36
  5. Step 5: Solve for x
    x = 71,438,823.36/9,773.08
  6. Step 6: Final answer
    x = 7,309.76

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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.