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Finding the Fourth Proportional to 6,287.57, 9,432.82 and 1,845.06

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Solution

The fourth proportional to 6,287.57, 9,432.82 and 1,845.06 is: 2,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.57 : 9,432.82 = 1,845.06 : x
  2. Step 2: Convert to fraction form
    6,287.57/9,432.82 = 1,845.06/x
  3. Step 3: Cross multiply
    6,287.57x = 9,432.82 × 1,845.06
  4. Step 4: Simplify right side
    6,287.57x = 17,404,062.48
  5. Step 5: Solve for x
    x = 17,404,062.48/6,287.57
  6. Step 6: Final answer
    x = 2,768.01

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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.