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Finding the Fourth Proportional to 28,206.36, 42,313.17 and 9,478.32

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Solution

The fourth proportional to 28,206.36, 42,313.17 and 9,478.32 is: 14,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.36 : 42,313.17 = 9,478.32 : x
  2. Step 2: Convert to fraction form
    28,206.36/42,313.17 = 9,478.32/x
  3. Step 3: Cross multiply
    28,206.36x = 42,313.17 × 9,478.32
  4. Step 4: Simplify right side
    28,206.36x = 401,057,765.47
  5. Step 5: Solve for x
    x = 401,057,765.47/28,206.36
  6. Step 6: Final answer
    x = 14,218.70

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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.