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Finding the Fourth Proportional to 9,904.82, 13,670.79 and 5,926.82

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Solution

The fourth proportional to 9,904.82, 13,670.79 and 5,926.82 is: 8,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.82 : 13,670.79 = 5,926.82 : x
  2. Step 2: Convert to fraction form
    9,904.82/13,670.79 = 5,926.82/x
  3. Step 3: Cross multiply
    9,904.82x = 13,670.79 × 5,926.82
  4. Step 4: Simplify right side
    9,904.82x = 81,024,311.59
  5. Step 5: Solve for x
    x = 81,024,311.59/9,904.82
  6. Step 6: Final answer
    x = 8,180.29

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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.