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Finding the Fourth Proportional to 9,567.95, 13,198.26 and 5,976.66

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Solution

The fourth proportional to 9,567.95, 13,198.26 and 5,976.66 is: 8,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.95 : 13,198.26 = 5,976.66 : x
  2. Step 2: Convert to fraction form
    9,567.95/13,198.26 = 5,976.66/x
  3. Step 3: Cross multiply
    9,567.95x = 13,198.26 × 5,976.66
  4. Step 4: Simplify right side
    9,567.95x = 78,881,512.61
  5. Step 5: Solve for x
    x = 78,881,512.61/9,567.95
  6. Step 6: Final answer
    x = 8,244.35

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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.