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Finding the Fourth Proportional to 9,790.61, 13,511.00 and 5,314.33

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Solution

The fourth proportional to 9,790.61, 13,511.00 and 5,314.33 is: 7,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.61 : 13,511.00 = 5,314.33 : x
  2. Step 2: Convert to fraction form
    9,790.61/13,511.00 = 5,314.33/x
  3. Step 3: Cross multiply
    9,790.61x = 13,511.00 × 5,314.33
  4. Step 4: Simplify right side
    9,790.61x = 71,801,892.14
  5. Step 5: Solve for x
    x = 71,801,892.14/9,790.61
  6. Step 6: Final answer
    x = 7,333.75

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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.