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Finding the Fourth Proportional to 7,216.47, 9,957.33 and 4,072.05

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Solution

The fourth proportional to 7,216.47, 9,957.33 and 4,072.05 is: 5,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.47 : 9,957.33 = 4,072.05 : x
  2. Step 2: Convert to fraction form
    7,216.47/9,957.33 = 4,072.05/x
  3. Step 3: Cross multiply
    7,216.47x = 9,957.33 × 4,072.05
  4. Step 4: Simplify right side
    7,216.47x = 40,546,745.63
  5. Step 5: Solve for x
    x = 40,546,745.63/7,216.47
  6. Step 6: Final answer
    x = 5,618.64

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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.