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Finding the Fourth Proportional to 31,273.84, 46,909.46 and 9,086.77

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Solution

The fourth proportional to 31,273.84, 46,909.46 and 9,086.77 is: 13,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,273.84 : 46,909.46 = 9,086.77 : x
  2. Step 2: Convert to fraction form
    31,273.84/46,909.46 = 9,086.77/x
  3. Step 3: Cross multiply
    31,273.84x = 46,909.46 × 9,086.77
  4. Step 4: Simplify right side
    31,273.84x = 426,255,428.41
  5. Step 5: Solve for x
    x = 426,255,428.41/31,273.84
  6. Step 6: Final answer
    x = 13,629.78

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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.