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Finding the Fourth Proportional to 7,235.64, 9,986.22 and 4,755.96

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Solution

The fourth proportional to 7,235.64, 9,986.22 and 4,755.96 is: 6,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.64 : 9,986.22 = 4,755.96 : x
  2. Step 2: Convert to fraction form
    7,235.64/9,986.22 = 4,755.96/x
  3. Step 3: Cross multiply
    7,235.64x = 9,986.22 × 4,755.96
  4. Step 4: Simplify right side
    7,235.64x = 47,494,062.87
  5. Step 5: Solve for x
    x = 47,494,062.87/7,235.64
  6. Step 6: Final answer
    x = 6,563.91

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Why These Related Problems?

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