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Finding the Fourth Proportional to 9,769.18, 14,659.02 and 6,483.82

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Solution

The fourth proportional to 9,769.18, 14,659.02 and 6,483.82 is: 9,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.18 : 14,659.02 = 6,483.82 : x
  2. Step 2: Convert to fraction form
    9,769.18/14,659.02 = 6,483.82/x
  3. Step 3: Cross multiply
    9,769.18x = 14,659.02 × 6,483.82
  4. Step 4: Simplify right side
    9,769.18x = 95,046,447.06
  5. Step 5: Solve for x
    x = 95,046,447.06/9,769.18
  6. Step 6: Final answer
    x = 9,729.21

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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.