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Finding the Fourth Proportional to 9,291.07, 12,817.38 and 5,932.18

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Solution

The fourth proportional to 9,291.07, 12,817.38 and 5,932.18 is: 8,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.07 : 12,817.38 = 5,932.18 : x
  2. Step 2: Convert to fraction form
    9,291.07/12,817.38 = 5,932.18/x
  3. Step 3: Cross multiply
    9,291.07x = 12,817.38 × 5,932.18
  4. Step 4: Simplify right side
    9,291.07x = 76,035,005.29
  5. Step 5: Solve for x
    x = 76,035,005.29/9,291.07
  6. Step 6: Final answer
    x = 8,183.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.