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Finding the Fourth Proportional to 9,682.88, 13,360.31 and 5,702.54

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Solution

The fourth proportional to 9,682.88, 13,360.31 and 5,702.54 is: 7,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 13,360.31 = 5,702.54 : x
  2. Step 2: Convert to fraction form
    9,682.88/13,360.31 = 5,702.54/x
  3. Step 3: Cross multiply
    9,682.88x = 13,360.31 × 5,702.54
  4. Step 4: Simplify right side
    9,682.88x = 76,187,628.26
  5. Step 5: Solve for x
    x = 76,187,628.26/9,682.88
  6. Step 6: Final answer
    x = 7,868.29

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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.