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Finding the Fourth Proportional to 7,122.81, 9,830.09 and 3,936.40

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Solution

The fourth proportional to 7,122.81, 9,830.09 and 3,936.40 is: 5,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.81 : 9,830.09 = 3,936.40 : x
  2. Step 2: Convert to fraction form
    7,122.81/9,830.09 = 3,936.40/x
  3. Step 3: Cross multiply
    7,122.81x = 9,830.09 × 3,936.40
  4. Step 4: Simplify right side
    7,122.81x = 38,695,166.28
  5. Step 5: Solve for x
    x = 38,695,166.28/7,122.81
  6. Step 6: Final answer
    x = 5,432.57

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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.