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Finding the Fourth Proportional to 28,282.41, 42,428.84 and 9,308.12

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Solution

The fourth proportional to 28,282.41, 42,428.84 and 9,308.12 is: 13,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282.41 : 42,428.84 = 9,308.12 : x
  2. Step 2: Convert to fraction form
    28,282.41/42,428.84 = 9,308.12/x
  3. Step 3: Cross multiply
    28,282.41x = 42,428.84 × 9,308.12
  4. Step 4: Simplify right side
    28,282.41x = 394,932,475.50
  5. Step 5: Solve for x
    x = 394,932,475.50/28,282.41
  6. Step 6: Final answer
    x = 13,963.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.