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Finding the Fourth Proportional to 6,505.41, 9,764.50 and 2,808.93

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Solution

The fourth proportional to 6,505.41, 9,764.50 and 2,808.93 is: 4,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.41 : 9,764.50 = 2,808.93 : x
  2. Step 2: Convert to fraction form
    6,505.41/9,764.50 = 2,808.93/x
  3. Step 3: Cross multiply
    6,505.41x = 9,764.50 × 2,808.93
  4. Step 4: Simplify right side
    6,505.41x = 27,427,776.92
  5. Step 5: Solve for x
    x = 27,427,776.92/6,505.41
  6. Step 6: Final answer
    x = 4,216.15

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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.