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Finding the Fourth Proportional to 7,235.68, 9,985.24 and 4,091.84

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Solution

The fourth proportional to 7,235.68, 9,985.24 and 4,091.84 is: 5,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.68 : 9,985.24 = 4,091.84 : x
  2. Step 2: Convert to fraction form
    7,235.68/9,985.24 = 4,091.84/x
  3. Step 3: Cross multiply
    7,235.68x = 9,985.24 × 4,091.84
  4. Step 4: Simplify right side
    7,235.68x = 40,858,004.44
  5. Step 5: Solve for x
    x = 40,858,004.44/7,235.68
  6. Step 6: Final answer
    x = 5,646.74

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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.