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Finding the Fourth Proportional to 7,205.30, 9,947.23 and 4,979.16

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Solution

The fourth proportional to 7,205.30, 9,947.23 and 4,979.16 is: 6,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.30 : 9,947.23 = 4,979.16 : x
  2. Step 2: Convert to fraction form
    7,205.30/9,947.23 = 4,979.16/x
  3. Step 3: Cross multiply
    7,205.30x = 9,947.23 × 4,979.16
  4. Step 4: Simplify right side
    7,205.30x = 49,528,849.73
  5. Step 5: Solve for x
    x = 49,528,849.73/7,205.30
  6. Step 6: Final answer
    x = 6,873.95

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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.