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Finding the Fourth Proportional to 7,084.60, 9,775.71 and 4,251.37

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Solution

The fourth proportional to 7,084.60, 9,775.71 and 4,251.37 is: 5,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.60 : 9,775.71 = 4,251.37 : x
  2. Step 2: Convert to fraction form
    7,084.60/9,775.71 = 4,251.37/x
  3. Step 3: Cross multiply
    7,084.60x = 9,775.71 × 4,251.37
  4. Step 4: Simplify right side
    7,084.60x = 41,560,166.07
  5. Step 5: Solve for x
    x = 41,560,166.07/7,084.60
  6. Step 6: Final answer
    x = 5,866.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.