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Finding the Fourth Proportional to 9,772.88, 14,660.12 and 2,847.38

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Solution

The fourth proportional to 9,772.88, 14,660.12 and 2,847.38 is: 4,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.88 : 14,660.12 = 2,847.38 : x
  2. Step 2: Convert to fraction form
    9,772.88/14,660.12 = 2,847.38/x
  3. Step 3: Cross multiply
    9,772.88x = 14,660.12 × 2,847.38
  4. Step 4: Simplify right side
    9,772.88x = 41,742,866.30
  5. Step 5: Solve for x
    x = 41,742,866.30/9,772.88
  6. Step 6: Final answer
    x = 4,271.30

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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.