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Finding the Fourth Proportional to 7,124.21, 9,830.86 and 3,936.99

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Solution

The fourth proportional to 7,124.21, 9,830.86 and 3,936.99 is: 5,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.21 : 9,830.86 = 3,936.99 : x
  2. Step 2: Convert to fraction form
    7,124.21/9,830.86 = 3,936.99/x
  3. Step 3: Cross multiply
    7,124.21x = 9,830.86 × 3,936.99
  4. Step 4: Simplify right side
    7,124.21x = 38,703,997.51
  5. Step 5: Solve for x
    x = 38,703,997.51/7,124.21
  6. Step 6: Final answer
    x = 5,432.74

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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.