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Finding the Fourth Proportional to 9,629.96, 14,440.60 and 4,433

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Solution

The fourth proportional to 9,629.96, 14,440.60 and 4,433 is: 6,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.96 : 14,440.60 = 4,433 : x
  2. Step 2: Convert to fraction form
    9,629.96/14,440.60 = 4,433/x
  3. Step 3: Cross multiply
    9,629.96x = 14,440.60 × 4,433
  4. Step 4: Simplify right side
    9,629.96x = 64,015,179.80
  5. Step 5: Solve for x
    x = 64,015,179.80/9,629.96
  6. Step 6: Final answer
    x = 6,647.50

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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.