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Finding the Fourth Proportional to 9,866.75, 14,807.43 and 4,672.64

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Solution

The fourth proportional to 9,866.75, 14,807.43 and 4,672.64 is: 7,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.75 : 14,807.43 = 4,672.64 : x
  2. Step 2: Convert to fraction form
    9,866.75/14,807.43 = 4,672.64/x
  3. Step 3: Cross multiply
    9,866.75x = 14,807.43 × 4,672.64
  4. Step 4: Simplify right side
    9,866.75x = 69,189,789.72
  5. Step 5: Solve for x
    x = 69,189,789.72/9,866.75
  6. Step 6: Final answer
    x = 7,012.42

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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.