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Finding the Fourth Proportional to 9,791.10, 13,511.32 and 5,314.68

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Solution

The fourth proportional to 9,791.10, 13,511.32 and 5,314.68 is: 7,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.10 : 13,511.32 = 5,314.68 : x
  2. Step 2: Convert to fraction form
    9,791.10/13,511.32 = 5,314.68/x
  3. Step 3: Cross multiply
    9,791.10x = 13,511.32 × 5,314.68
  4. Step 4: Simplify right side
    9,791.10x = 71,808,342.18
  5. Step 5: Solve for x
    x = 71,808,342.18/9,791.10
  6. Step 6: Final answer
    x = 7,334.04

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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.