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Finding the Fourth Proportional to 9,934.74, 13,709.97 and 5,956.02

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Solution

The fourth proportional to 9,934.74, 13,709.97 and 5,956.02 is: 8,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.74 : 13,709.97 = 5,956.02 : x
  2. Step 2: Convert to fraction form
    9,934.74/13,709.97 = 5,956.02/x
  3. Step 3: Cross multiply
    9,934.74x = 13,709.97 × 5,956.02
  4. Step 4: Simplify right side
    9,934.74x = 81,656,855.52
  5. Step 5: Solve for x
    x = 81,656,855.52/9,934.74
  6. Step 6: Final answer
    x = 8,219.32

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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.