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Finding the Fourth Proportional to 9,238.16, 13,857.20 and 2,312.64

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Solution

The fourth proportional to 9,238.16, 13,857.20 and 2,312.64 is: 3,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.16 : 13,857.20 = 2,312.64 : x
  2. Step 2: Convert to fraction form
    9,238.16/13,857.20 = 2,312.64/x
  3. Step 3: Cross multiply
    9,238.16x = 13,857.20 × 2,312.64
  4. Step 4: Simplify right side
    9,238.16x = 32,046,715.01
  5. Step 5: Solve for x
    x = 32,046,715.01/9,238.16
  6. Step 6: Final answer
    x = 3,468.95

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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.