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Finding the Fourth Proportional to 7,046.82, 9,724.92 and 3,903

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Solution

The fourth proportional to 7,046.82, 9,724.92 and 3,903 is: 5,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.82 : 9,724.92 = 3,903 : x
  2. Step 2: Convert to fraction form
    7,046.82/9,724.92 = 3,903/x
  3. Step 3: Cross multiply
    7,046.82x = 9,724.92 × 3,903
  4. Step 4: Simplify right side
    7,046.82x = 37,956,362.76
  5. Step 5: Solve for x
    x = 37,956,362.76/7,046.82
  6. Step 6: Final answer
    x = 5,386.31

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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.