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Finding the Fourth Proportional to 9,291.38, 12,822.44 and 5,099.63

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Solution

The fourth proportional to 9,291.38, 12,822.44 and 5,099.63 is: 7,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.38 : 12,822.44 = 5,099.63 : x
  2. Step 2: Convert to fraction form
    9,291.38/12,822.44 = 5,099.63/x
  3. Step 3: Cross multiply
    9,291.38x = 12,822.44 × 5,099.63
  4. Step 4: Simplify right side
    9,291.38x = 65,389,610.09
  5. Step 5: Solve for x
    x = 65,389,610.09/9,291.38
  6. Step 6: Final answer
    x = 7,037.67

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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.