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Finding the Fourth Proportional to 6,215.70, 9,323.82 and 3,097.20

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Solution

The fourth proportional to 6,215.70, 9,323.82 and 3,097.20 is: 4,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.70 : 9,323.82 = 3,097.20 : x
  2. Step 2: Convert to fraction form
    6,215.70/9,323.82 = 3,097.20/x
  3. Step 3: Cross multiply
    6,215.70x = 9,323.82 × 3,097.20
  4. Step 4: Simplify right side
    6,215.70x = 28,877,735.30
  5. Step 5: Solve for x
    x = 28,877,735.30/6,215.70
  6. Step 6: Final answer
    x = 4,645.93

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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.