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Finding the Fourth Proportional to 10,396.94, 14,346.41 and 5,920.74

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Solution

The fourth proportional to 10,396.94, 14,346.41 and 5,920.74 is: 8,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.94 : 14,346.41 = 5,920.74 : x
  2. Step 2: Convert to fraction form
    10,396.94/14,346.41 = 5,920.74/x
  3. Step 3: Cross multiply
    10,396.94x = 14,346.41 × 5,920.74
  4. Step 4: Simplify right side
    10,396.94x = 84,941,333.94
  5. Step 5: Solve for x
    x = 84,941,333.94/10,396.94
  6. Step 6: Final answer
    x = 8,169.84

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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.