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Finding the Fourth Proportional to 6,283.68, 9,432.36 and 3,654.06

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Solution

The fourth proportional to 6,283.68, 9,432.36 and 3,654.06 is: 5,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.68 : 9,432.36 = 3,654.06 : x
  2. Step 2: Convert to fraction form
    6,283.68/9,432.36 = 3,654.06/x
  3. Step 3: Cross multiply
    6,283.68x = 9,432.36 × 3,654.06
  4. Step 4: Simplify right side
    6,283.68x = 34,466,409.38
  5. Step 5: Solve for x
    x = 34,466,409.38/6,283.68
  6. Step 6: Final answer
    x = 5,485.07

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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.