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Finding the Fourth Proportional to 6,473.92, 9,710.32 and 2,776.56

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Solution

The fourth proportional to 6,473.92, 9,710.32 and 2,776.56 is: 4,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.92 : 9,710.32 = 2,776.56 : x
  2. Step 2: Convert to fraction form
    6,473.92/9,710.32 = 2,776.56/x
  3. Step 3: Cross multiply
    6,473.92x = 9,710.32 × 2,776.56
  4. Step 4: Simplify right side
    6,473.92x = 26,961,286.10
  5. Step 5: Solve for x
    x = 26,961,286.10/6,473.92
  6. Step 6: Final answer
    x = 4,164.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.