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Finding the Fourth Proportional to 9,042.27, 12,478.49 and 5,896.63

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Solution

The fourth proportional to 9,042.27, 12,478.49 and 5,896.63 is: 8,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.27 : 12,478.49 = 5,896.63 : x
  2. Step 2: Convert to fraction form
    9,042.27/12,478.49 = 5,896.63/x
  3. Step 3: Cross multiply
    9,042.27x = 12,478.49 × 5,896.63
  4. Step 4: Simplify right side
    9,042.27x = 73,581,038.49
  5. Step 5: Solve for x
    x = 73,581,038.49/9,042.27
  6. Step 6: Final answer
    x = 8,137.45

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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.