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Finding the Fourth Proportional to 28,471.14, 42,713.38 and 9,751.38

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Solution

The fourth proportional to 28,471.14, 42,713.38 and 9,751.38 is: 14,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,471.14 : 42,713.38 = 9,751.38 : x
  2. Step 2: Convert to fraction form
    28,471.14/42,713.38 = 9,751.38/x
  3. Step 3: Cross multiply
    28,471.14x = 42,713.38 × 9,751.38
  4. Step 4: Simplify right side
    28,471.14x = 416,514,399.46
  5. Step 5: Solve for x
    x = 416,514,399.46/28,471.14
  6. Step 6: Final answer
    x = 14,629.35

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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.