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Finding the Fourth Proportional to 9,042.71, 12,466.09 and 6,648.46

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Solution

The fourth proportional to 9,042.71, 12,466.09 and 6,648.46 is: 9,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.71 : 12,466.09 = 6,648.46 : x
  2. Step 2: Convert to fraction form
    9,042.71/12,466.09 = 6,648.46/x
  3. Step 3: Cross multiply
    9,042.71x = 12,466.09 × 6,648.46
  4. Step 4: Simplify right side
    9,042.71x = 82,880,300.72
  5. Step 5: Solve for x
    x = 82,880,300.72/9,042.71
  6. Step 6: Final answer
    x = 9,165.43

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