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Finding the Fourth Proportional to 9,766.72, 14,639.36 and 6,433.60

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Solution

The fourth proportional to 9,766.72, 14,639.36 and 6,433.60 is: 9,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.72 : 14,639.36 = 6,433.60 : x
  2. Step 2: Convert to fraction form
    9,766.72/14,639.36 = 6,433.60/x
  3. Step 3: Cross multiply
    9,766.72x = 14,639.36 × 6,433.60
  4. Step 4: Simplify right side
    9,766.72x = 94,183,786.50
  5. Step 5: Solve for x
    x = 94,183,786.50/9,766.72
  6. Step 6: Final answer
    x = 9,643.34

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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.