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Finding the Fourth Proportional to 9,462.69, 13,058.31 and 5,927.85

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Solution

The fourth proportional to 9,462.69, 13,058.31 and 5,927.85 is: 8,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.69 : 13,058.31 = 5,927.85 : x
  2. Step 2: Convert to fraction form
    9,462.69/13,058.31 = 5,927.85/x
  3. Step 3: Cross multiply
    9,462.69x = 13,058.31 × 5,927.85
  4. Step 4: Simplify right side
    9,462.69x = 77,407,702.93
  5. Step 5: Solve for x
    x = 77,407,702.93/9,462.69
  6. Step 6: Final answer
    x = 8,180.31

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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.