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Finding the Fourth Proportional to 9,201.58, 13,802.37 and 4,270.57

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Solution

The fourth proportional to 9,201.58, 13,802.37 and 4,270.57 is: 6,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.58 : 13,802.37 = 4,270.57 : x
  2. Step 2: Convert to fraction form
    9,201.58/13,802.37 = 4,270.57/x
  3. Step 3: Cross multiply
    9,201.58x = 13,802.37 × 4,270.57
  4. Step 4: Simplify right side
    9,201.58x = 58,943,936.73
  5. Step 5: Solve for x
    x = 58,943,936.73/9,201.58
  6. Step 6: Final answer
    x = 6,405.85

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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.