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Finding the Fourth Proportional to 6,391.12, 9,572.81 and 3,097.30

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Solution

The fourth proportional to 6,391.12, 9,572.81 and 3,097.30 is: 4,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.12 : 9,572.81 = 3,097.30 : x
  2. Step 2: Convert to fraction form
    6,391.12/9,572.81 = 3,097.30/x
  3. Step 3: Cross multiply
    6,391.12x = 9,572.81 × 3,097.30
  4. Step 4: Simplify right side
    6,391.12x = 29,649,801.06
  5. Step 5: Solve for x
    x = 29,649,801.06/6,391.12
  6. Step 6: Final answer
    x = 4,639.22

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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.