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Finding the Fourth Proportional to 6,213.80, 9,320.70 and 2,317.70

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Solution

The fourth proportional to 6,213.80, 9,320.70 and 2,317.70 is: 3,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.80 : 9,320.70 = 2,317.70 : x
  2. Step 2: Convert to fraction form
    6,213.80/9,320.70 = 2,317.70/x
  3. Step 3: Cross multiply
    6,213.80x = 9,320.70 × 2,317.70
  4. Step 4: Simplify right side
    6,213.80x = 21,602,586.39
  5. Step 5: Solve for x
    x = 21,602,586.39/6,213.80
  6. Step 6: Final answer
    x = 3,476.55

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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.