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Finding the Fourth Proportional to 9,447.84, 14,171.04 and 4,769.28

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Solution

The fourth proportional to 9,447.84, 14,171.04 and 4,769.28 is: 7,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.84 : 14,171.04 = 4,769.28 : x
  2. Step 2: Convert to fraction form
    9,447.84/14,171.04 = 4,769.28/x
  3. Step 3: Cross multiply
    9,447.84x = 14,171.04 × 4,769.28
  4. Step 4: Simplify right side
    9,447.84x = 67,585,657.65
  5. Step 5: Solve for x
    x = 67,585,657.65/9,447.84
  6. Step 6: Final answer
    x = 7,153.56

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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.