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Finding the Fourth Proportional to 9,682.95, 13,360.84 and 5,704.86

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Solution

The fourth proportional to 9,682.95, 13,360.84 and 5,704.86 is: 7,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.95 : 13,360.84 = 5,704.86 : x
  2. Step 2: Convert to fraction form
    9,682.95/13,360.84 = 5,704.86/x
  3. Step 3: Cross multiply
    9,682.95x = 13,360.84 × 5,704.86
  4. Step 4: Simplify right side
    9,682.95x = 76,221,721.68
  5. Step 5: Solve for x
    x = 76,221,721.68/9,682.95
  6. Step 6: Final answer
    x = 7,871.75

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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.