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Finding the Fourth Proportional to 9,075.50, 12,485.31 and 8,686.70

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Solution

The fourth proportional to 9,075.50, 12,485.31 and 8,686.70 is: 11,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.50 : 12,485.31 = 8,686.70 : x
  2. Step 2: Convert to fraction form
    9,075.50/12,485.31 = 8,686.70/x
  3. Step 3: Cross multiply
    9,075.50x = 12,485.31 × 8,686.70
  4. Step 4: Simplify right side
    9,075.50x = 108,456,142.38
  5. Step 5: Solve for x
    x = 108,456,142.38/9,075.50
  6. Step 6: Final answer
    x = 11,950.43

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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.