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Finding the Fourth Proportional to 9,931.58, 13,704.92 and 5,682.12

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Solution

The fourth proportional to 9,931.58, 13,704.92 and 5,682.12 is: 7,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.58 : 13,704.92 = 5,682.12 : x
  2. Step 2: Convert to fraction form
    9,931.58/13,704.92 = 5,682.12/x
  3. Step 3: Cross multiply
    9,931.58x = 13,704.92 × 5,682.12
  4. Step 4: Simplify right side
    9,931.58x = 77,873,000.03
  5. Step 5: Solve for x
    x = 77,873,000.03/9,931.58
  6. Step 6: Final answer
    x = 7,840.95

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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.