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Finding the Fourth Proportional to 28,214.91, 42,313.32 and 9,489.87

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Solution

The fourth proportional to 28,214.91, 42,313.32 and 9,489.87 is: 14,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.91 : 42,313.32 = 9,489.87 : x
  2. Step 2: Convert to fraction form
    28,214.91/42,313.32 = 9,489.87/x
  3. Step 3: Cross multiply
    28,214.91x = 42,313.32 × 9,489.87
  4. Step 4: Simplify right side
    28,214.91x = 401,547,906.07
  5. Step 5: Solve for x
    x = 401,547,906.07/28,214.91
  6. Step 6: Final answer
    x = 14,231.76

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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.