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Finding the Fourth Proportional to 9,769.48, 14,654.22 and 6,488.98

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Solution

The fourth proportional to 9,769.48, 14,654.22 and 6,488.98 is: 9,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.48 : 14,654.22 = 6,488.98 : x
  2. Step 2: Convert to fraction form
    9,769.48/14,654.22 = 6,488.98/x
  3. Step 3: Cross multiply
    9,769.48x = 14,654.22 × 6,488.98
  4. Step 4: Simplify right side
    9,769.48x = 95,090,940.50
  5. Step 5: Solve for x
    x = 95,090,940.50/9,769.48
  6. Step 6: Final answer
    x = 9,733.47

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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.