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Finding the Fourth Proportional to 9,778.25, 13,495.85 and 5,801.56

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Solution

The fourth proportional to 9,778.25, 13,495.85 and 5,801.56 is: 8,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.25 : 13,495.85 = 5,801.56 : x
  2. Step 2: Convert to fraction form
    9,778.25/13,495.85 = 5,801.56/x
  3. Step 3: Cross multiply
    9,778.25x = 13,495.85 × 5,801.56
  4. Step 4: Simplify right side
    9,778.25x = 78,296,942.53
  5. Step 5: Solve for x
    x = 78,296,942.53/9,778.25
  6. Step 6: Final answer
    x = 8,007.25

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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.