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Finding the Fourth Proportional to 9,291.55, 12,823.20 and 5,311.87

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Solution

The fourth proportional to 9,291.55, 12,823.20 and 5,311.87 is: 7,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.55 : 12,823.20 = 5,311.87 : x
  2. Step 2: Convert to fraction form
    9,291.55/12,823.20 = 5,311.87/x
  3. Step 3: Cross multiply
    9,291.55x = 12,823.20 × 5,311.87
  4. Step 4: Simplify right side
    9,291.55x = 68,115,171.38
  5. Step 5: Solve for x
    x = 68,115,171.38/9,291.55
  6. Step 6: Final answer
    x = 7,330.87

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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.