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Finding the Fourth Proportional to 28,420.31, 42,633.75 and 9,446.64

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Solution

The fourth proportional to 28,420.31, 42,633.75 and 9,446.64 is: 14,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,420.31 : 42,633.75 = 9,446.64 : x
  2. Step 2: Convert to fraction form
    28,420.31/42,633.75 = 9,446.64/x
  3. Step 3: Cross multiply
    28,420.31x = 42,633.75 × 9,446.64
  4. Step 4: Simplify right side
    28,420.31x = 402,745,723.52
  5. Step 5: Solve for x
    x = 402,745,723.52/28,420.31
  6. Step 6: Final answer
    x = 14,171.06

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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.