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Finding the Fourth Proportional to 6,232.67, 9,346.95 and 2,283.25

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Solution

The fourth proportional to 6,232.67, 9,346.95 and 2,283.25 is: 3,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.67 : 9,346.95 = 2,283.25 : x
  2. Step 2: Convert to fraction form
    6,232.67/9,346.95 = 2,283.25/x
  3. Step 3: Cross multiply
    6,232.67x = 9,346.95 × 2,283.25
  4. Step 4: Simplify right side
    6,232.67x = 21,341,423.59
  5. Step 5: Solve for x
    x = 21,341,423.59/6,232.67
  6. Step 6: Final answer
    x = 3,424.12

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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.