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Finding the Fourth Proportional to 9,424.57, 14,133.22 and 3,182.92

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Solution

The fourth proportional to 9,424.57, 14,133.22 and 3,182.92 is: 4,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.57 : 14,133.22 = 3,182.92 : x
  2. Step 2: Convert to fraction form
    9,424.57/14,133.22 = 3,182.92/x
  3. Step 3: Cross multiply
    9,424.57x = 14,133.22 × 3,182.92
  4. Step 4: Simplify right side
    9,424.57x = 44,984,908.60
  5. Step 5: Solve for x
    x = 44,984,908.60/9,424.57
  6. Step 6: Final answer
    x = 4,773.15

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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.