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Finding the Fourth Proportional to 7,214.12, 9,955.50 and 3,902.12

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Solution

The fourth proportional to 7,214.12, 9,955.50 and 3,902.12 is: 5,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.12 : 9,955.50 = 3,902.12 : x
  2. Step 2: Convert to fraction form
    7,214.12/9,955.50 = 3,902.12/x
  3. Step 3: Cross multiply
    7,214.12x = 9,955.50 × 3,902.12
  4. Step 4: Simplify right side
    7,214.12x = 38,847,555.66
  5. Step 5: Solve for x
    x = 38,847,555.66/7,214.12
  6. Step 6: Final answer
    x = 5,384.93

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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.