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Finding the Fourth Proportional to 9,682.95, 13,363.35 and 5,702.07

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Solution

The fourth proportional to 9,682.95, 13,363.35 and 5,702.07 is: 7,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.95 : 13,363.35 = 5,702.07 : x
  2. Step 2: Convert to fraction form
    9,682.95/13,363.35 = 5,702.07/x
  3. Step 3: Cross multiply
    9,682.95x = 13,363.35 × 5,702.07
  4. Step 4: Simplify right side
    9,682.95x = 76,198,757.13
  5. Step 5: Solve for x
    x = 76,198,757.13/9,682.95
  6. Step 6: Final answer
    x = 7,869.37

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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.