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Finding the Fourth Proportional to 6,212.14, 9,318.12 and 1,532.20

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Solution

The fourth proportional to 6,212.14, 9,318.12 and 1,532.20 is: 2,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.14 : 9,318.12 = 1,532.20 : x
  2. Step 2: Convert to fraction form
    6,212.14/9,318.12 = 1,532.20/x
  3. Step 3: Cross multiply
    6,212.14x = 9,318.12 × 1,532.20
  4. Step 4: Simplify right side
    6,212.14x = 14,277,223.46
  5. Step 5: Solve for x
    x = 14,277,223.46/6,212.14
  6. Step 6: Final answer
    x = 2,298.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.