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Finding the Fourth Proportional to 9,774.92, 14,668.86 and 5,161.16

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Solution

The fourth proportional to 9,774.92, 14,668.86 and 5,161.16 is: 7,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.92 : 14,668.86 = 5,161.16 : x
  2. Step 2: Convert to fraction form
    9,774.92/14,668.86 = 5,161.16/x
  3. Step 3: Cross multiply
    9,774.92x = 14,668.86 × 5,161.16
  4. Step 4: Simplify right side
    9,774.92x = 75,708,333.48
  5. Step 5: Solve for x
    x = 75,708,333.48/9,774.92
  6. Step 6: Final answer
    x = 7,745.16

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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.