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Finding the Fourth Proportional to 9,252.38, 12,770.57 and 5,666.69

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Solution

The fourth proportional to 9,252.38, 12,770.57 and 5,666.69 is: 7,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.38 : 12,770.57 = 5,666.69 : x
  2. Step 2: Convert to fraction form
    9,252.38/12,770.57 = 5,666.69/x
  3. Step 3: Cross multiply
    9,252.38x = 12,770.57 × 5,666.69
  4. Step 4: Simplify right side
    9,252.38x = 72,366,907.41
  5. Step 5: Solve for x
    x = 72,366,907.41/9,252.38
  6. Step 6: Final answer
    x = 7,821.43

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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.