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Finding the Fourth Proportional to 9,791.46, 14,689.35 and 2,866.50

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Solution

The fourth proportional to 9,791.46, 14,689.35 and 2,866.50 is: 4,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.46 : 14,689.35 = 2,866.50 : x
  2. Step 2: Convert to fraction form
    9,791.46/14,689.35 = 2,866.50/x
  3. Step 3: Cross multiply
    9,791.46x = 14,689.35 × 2,866.50
  4. Step 4: Simplify right side
    9,791.46x = 42,107,021.78
  5. Step 5: Solve for x
    x = 42,107,021.78/9,791.46
  6. Step 6: Final answer
    x = 4,300.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.