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Finding the Fourth Proportional to 9,428.32, 14,133.84 and 3,268

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Solution

The fourth proportional to 9,428.32, 14,133.84 and 3,268 is: 4,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.32 : 14,133.84 = 3,268 : x
  2. Step 2: Convert to fraction form
    9,428.32/14,133.84 = 3,268/x
  3. Step 3: Cross multiply
    9,428.32x = 14,133.84 × 3,268
  4. Step 4: Simplify right side
    9,428.32x = 46,189,389.12
  5. Step 5: Solve for x
    x = 46,189,389.12/9,428.32
  6. Step 6: Final answer
    x = 4,899.01

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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.