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Finding the Fourth Proportional to 7,235.57, 9,985.74 and 4,091.69

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Solution

The fourth proportional to 7,235.57, 9,985.74 and 4,091.69 is: 5,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.57 : 9,985.74 = 4,091.69 : x
  2. Step 2: Convert to fraction form
    7,235.57/9,985.74 = 4,091.69/x
  3. Step 3: Cross multiply
    7,235.57x = 9,985.74 × 4,091.69
  4. Step 4: Simplify right side
    7,235.57x = 40,858,552.50
  5. Step 5: Solve for x
    x = 40,858,552.50/7,235.57
  6. Step 6: Final answer
    x = 5,646.90

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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.