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Finding the Fourth Proportional to 9,774.89, 14,663.19 and 2,754.96

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Solution

The fourth proportional to 9,774.89, 14,663.19 and 2,754.96 is: 4,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.89 : 14,663.19 = 2,754.96 : x
  2. Step 2: Convert to fraction form
    9,774.89/14,663.19 = 2,754.96/x
  3. Step 3: Cross multiply
    9,774.89x = 14,663.19 × 2,754.96
  4. Step 4: Simplify right side
    9,774.89x = 40,396,501.92
  5. Step 5: Solve for x
    x = 40,396,501.92/9,774.89
  6. Step 6: Final answer
    x = 4,132.68

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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.