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Finding the Fourth Proportional to 9,390.84, 12,958.92 and 5,198.76

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Solution

The fourth proportional to 9,390.84, 12,958.92 and 5,198.76 is: 7,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.84 : 12,958.92 = 5,198.76 : x
  2. Step 2: Convert to fraction form
    9,390.84/12,958.92 = 5,198.76/x
  3. Step 3: Cross multiply
    9,390.84x = 12,958.92 × 5,198.76
  4. Step 4: Simplify right side
    9,390.84x = 67,370,314.94
  5. Step 5: Solve for x
    x = 67,370,314.94/9,390.84
  6. Step 6: Final answer
    x = 7,174.05

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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.