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Finding the Fourth Proportional to 6,212.64, 9,318.87 and 1,532.70

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Solution

The fourth proportional to 6,212.64, 9,318.87 and 1,532.70 is: 2,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.64 : 9,318.87 = 1,532.70 : x
  2. Step 2: Convert to fraction form
    6,212.64/9,318.87 = 1,532.70/x
  3. Step 3: Cross multiply
    6,212.64x = 9,318.87 × 1,532.70
  4. Step 4: Simplify right side
    6,212.64x = 14,283,032.05
  5. Step 5: Solve for x
    x = 14,283,032.05/6,212.64
  6. Step 6: Final answer
    x = 2,299.03

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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.