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Finding the Fourth Proportional to 9,930.39, 13,703.87 and 5,393.16

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Solution

The fourth proportional to 9,930.39, 13,703.87 and 5,393.16 is: 7,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.39 : 13,703.87 = 5,393.16 : x
  2. Step 2: Convert to fraction form
    9,930.39/13,703.87 = 5,393.16/x
  3. Step 3: Cross multiply
    9,930.39x = 13,703.87 × 5,393.16
  4. Step 4: Simplify right side
    9,930.39x = 73,907,136.56
  5. Step 5: Solve for x
    x = 73,907,136.56/9,930.39
  6. Step 6: Final answer
    x = 7,442.52

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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.