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Finding the Fourth Proportional to 9,628.80, 13,271.86 and 6,440.94

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Solution

The fourth proportional to 9,628.80, 13,271.86 and 6,440.94 is: 8,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.80 : 13,271.86 = 6,440.94 : x
  2. Step 2: Convert to fraction form
    9,628.80/13,271.86 = 6,440.94/x
  3. Step 3: Cross multiply
    9,628.80x = 13,271.86 × 6,440.94
  4. Step 4: Simplify right side
    9,628.80x = 85,483,308.38
  5. Step 5: Solve for x
    x = 85,483,308.38/9,628.80
  6. Step 6: Final answer
    x = 8,877.88

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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.