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Finding the Fourth Proportional to 9,340.16, 14,012.80 and 3,184.64

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Solution

The fourth proportional to 9,340.16, 14,012.80 and 3,184.64 is: 4,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.16 : 14,012.80 = 3,184.64 : x
  2. Step 2: Convert to fraction form
    9,340.16/14,012.80 = 3,184.64/x
  3. Step 3: Cross multiply
    9,340.16x = 14,012.80 × 3,184.64
  4. Step 4: Simplify right side
    9,340.16x = 44,625,723.39
  5. Step 5: Solve for x
    x = 44,625,723.39/9,340.16
  6. Step 6: Final answer
    x = 4,777.83

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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.