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Finding the Fourth Proportional to 6,731.98, 9,288.26 and 4,042.48

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Solution

The fourth proportional to 6,731.98, 9,288.26 and 4,042.48 is: 5,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.98 : 9,288.26 = 4,042.48 : x
  2. Step 2: Convert to fraction form
    6,731.98/9,288.26 = 4,042.48/x
  3. Step 3: Cross multiply
    6,731.98x = 9,288.26 × 4,042.48
  4. Step 4: Simplify right side
    6,731.98x = 37,547,605.28
  5. Step 5: Solve for x
    x = 37,547,605.28/6,731.98
  6. Step 6: Final answer
    x = 5,577.50

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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.