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Finding the Fourth Proportional to 28,564.25, 42,837.25 and 9,839.79

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Solution

The fourth proportional to 28,564.25, 42,837.25 and 9,839.79 is: 14,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.25 : 42,837.25 = 9,839.79 : x
  2. Step 2: Convert to fraction form
    28,564.25/42,837.25 = 9,839.79/x
  3. Step 3: Cross multiply
    28,564.25x = 42,837.25 × 9,839.79
  4. Step 4: Simplify right side
    28,564.25x = 421,509,544.18
  5. Step 5: Solve for x
    x = 421,509,544.18/28,564.25
  6. Step 6: Final answer
    x = 14,756.54

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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.