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Finding the Fourth Proportional to 9,791.60, 13,511.93 and 5,315.22

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Solution

The fourth proportional to 9,791.60, 13,511.93 and 5,315.22 is: 7,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.60 : 13,511.93 = 5,315.22 : x
  2. Step 2: Convert to fraction form
    9,791.60/13,511.93 = 5,315.22/x
  3. Step 3: Cross multiply
    9,791.60x = 13,511.93 × 5,315.22
  4. Step 4: Simplify right side
    9,791.60x = 71,818,854.00
  5. Step 5: Solve for x
    x = 71,818,854.00/9,791.60
  6. Step 6: Final answer
    x = 7,334.75

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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.