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Finding the Fourth Proportional to 9,723.18, 14,585.22 and 3,149.88

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Solution

The fourth proportional to 9,723.18, 14,585.22 and 3,149.88 is: 4,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.18 : 14,585.22 = 3,149.88 : x
  2. Step 2: Convert to fraction form
    9,723.18/14,585.22 = 3,149.88/x
  3. Step 3: Cross multiply
    9,723.18x = 14,585.22 × 3,149.88
  4. Step 4: Simplify right side
    9,723.18x = 45,941,692.77
  5. Step 5: Solve for x
    x = 45,941,692.77/9,723.18
  6. Step 6: Final answer
    x = 4,724.97

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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.