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Finding the Fourth Proportional to 6,712.89, 9,236.66 and 6,541.17

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Solution

The fourth proportional to 6,712.89, 9,236.66 and 6,541.17 is: 9,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.89 : 9,236.66 = 6,541.17 : x
  2. Step 2: Convert to fraction form
    6,712.89/9,236.66 = 6,541.17/x
  3. Step 3: Cross multiply
    6,712.89x = 9,236.66 × 6,541.17
  4. Step 4: Simplify right side
    6,712.89x = 60,418,563.29
  5. Step 5: Solve for x
    x = 60,418,563.29/6,712.89
  6. Step 6: Final answer
    x = 9,000.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.