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Finding the Fourth Proportional to 7,046.75, 9,724.49 and 4,062.56

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Solution

The fourth proportional to 7,046.75, 9,724.49 and 4,062.56 is: 5,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.75 : 9,724.49 = 4,062.56 : x
  2. Step 2: Convert to fraction form
    7,046.75/9,724.49 = 4,062.56/x
  3. Step 3: Cross multiply
    7,046.75x = 9,724.49 × 4,062.56
  4. Step 4: Simplify right side
    7,046.75x = 39,506,324.09
  5. Step 5: Solve for x
    x = 39,506,324.09/7,046.75
  6. Step 6: Final answer
    x = 5,606.32

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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.