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Finding the Fourth Proportional to 9,772.87, 13,485.89 and 6,235.69

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Solution

The fourth proportional to 9,772.87, 13,485.89 and 6,235.69 is: 8,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.87 : 13,485.89 = 6,235.69 : x
  2. Step 2: Convert to fraction form
    9,772.87/13,485.89 = 6,235.69/x
  3. Step 3: Cross multiply
    9,772.87x = 13,485.89 × 6,235.69
  4. Step 4: Simplify right side
    9,772.87x = 84,093,829.41
  5. Step 5: Solve for x
    x = 84,093,829.41/9,772.87
  6. Step 6: Final answer
    x = 8,604.82

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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.