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Finding the Fourth Proportional to 9,478.16, 14,218.91 and 3,236.71

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Solution

The fourth proportional to 9,478.16, 14,218.91 and 3,236.71 is: 4,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.16 : 14,218.91 = 3,236.71 : x
  2. Step 2: Convert to fraction form
    9,478.16/14,218.91 = 3,236.71/x
  3. Step 3: Cross multiply
    9,478.16x = 14,218.91 × 3,236.71
  4. Step 4: Simplify right side
    9,478.16x = 46,022,426.85
  5. Step 5: Solve for x
    x = 46,022,426.85/9,478.16
  6. Step 6: Final answer
    x = 4,855.63

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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.