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Finding the Fourth Proportional to 9,400.33, 12,973.83 and 5,420.66

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Solution

The fourth proportional to 9,400.33, 12,973.83 and 5,420.66 is: 7,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.33 : 12,973.83 = 5,420.66 : x
  2. Step 2: Convert to fraction form
    9,400.33/12,973.83 = 5,420.66/x
  3. Step 3: Cross multiply
    9,400.33x = 12,973.83 × 5,420.66
  4. Step 4: Simplify right side
    9,400.33x = 70,326,721.33
  5. Step 5: Solve for x
    x = 70,326,721.33/9,400.33
  6. Step 6: Final answer
    x = 7,481.31

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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.