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Finding the Fourth Proportional to 6,974.84, 9,621.70 and 4,454.30

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Solution

The fourth proportional to 6,974.84, 9,621.70 and 4,454.30 is: 6,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.84 : 9,621.70 = 4,454.30 : x
  2. Step 2: Convert to fraction form
    6,974.84/9,621.70 = 4,454.30/x
  3. Step 3: Cross multiply
    6,974.84x = 9,621.70 × 4,454.30
  4. Step 4: Simplify right side
    6,974.84x = 42,857,951.23
  5. Step 5: Solve for x
    x = 42,857,951.23/6,974.84
  6. Step 6: Final answer
    x = 6,144.65

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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.