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Finding the Fourth Proportional to 9,770.65, 14,663.85 and 5,556.49

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Solution

The fourth proportional to 9,770.65, 14,663.85 and 5,556.49 is: 8,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.65 : 14,663.85 = 5,556.49 : x
  2. Step 2: Convert to fraction form
    9,770.65/14,663.85 = 5,556.49/x
  3. Step 3: Cross multiply
    9,770.65x = 14,663.85 × 5,556.49
  4. Step 4: Simplify right side
    9,770.65x = 81,479,535.89
  5. Step 5: Solve for x
    x = 81,479,535.89/9,770.65
  6. Step 6: Final answer
    x = 8,339.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.