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Finding the Fourth Proportional to 6,366.61, 9,549.82 and 2,471.77

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Solution

The fourth proportional to 6,366.61, 9,549.82 and 2,471.77 is: 3,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.61 : 9,549.82 = 2,471.77 : x
  2. Step 2: Convert to fraction form
    6,366.61/9,549.82 = 2,471.77/x
  3. Step 3: Cross multiply
    6,366.61x = 9,549.82 × 2,471.77
  4. Step 4: Simplify right side
    6,366.61x = 23,604,958.58
  5. Step 5: Solve for x
    x = 23,604,958.58/6,366.61
  6. Step 6: Final answer
    x = 3,707.62

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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.