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Finding the Fourth Proportional to 28,206.86, 42,313.92 and 9,478.82

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Solution

The fourth proportional to 28,206.86, 42,313.92 and 9,478.82 is: 14,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.86 : 42,313.92 = 9,478.82 : x
  2. Step 2: Convert to fraction form
    28,206.86/42,313.92 = 9,478.82/x
  3. Step 3: Cross multiply
    28,206.86x = 42,313.92 × 9,478.82
  4. Step 4: Simplify right side
    28,206.86x = 401,086,031.17
  5. Step 5: Solve for x
    x = 401,086,031.17/28,206.86
  6. Step 6: Final answer
    x = 14,219.45

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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.