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Finding the Fourth Proportional to 28,476.90, 42,711.30 and 9,757.80

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Solution

The fourth proportional to 28,476.90, 42,711.30 and 9,757.80 is: 14,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,476.90 : 42,711.30 = 9,757.80 : x
  2. Step 2: Convert to fraction form
    28,476.90/42,711.30 = 9,757.80/x
  3. Step 3: Cross multiply
    28,476.90x = 42,711.30 × 9,757.80
  4. Step 4: Simplify right side
    28,476.90x = 416,768,323.14
  5. Step 5: Solve for x
    x = 416,768,323.14/28,476.90
  6. Step 6: Final answer
    x = 14,635.31

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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.