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Finding the Fourth Proportional to 9,286.42, 12,814.94 and 5,307.90

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Solution

The fourth proportional to 9,286.42, 12,814.94 and 5,307.90 is: 7,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.42 : 12,814.94 = 5,307.90 : x
  2. Step 2: Convert to fraction form
    9,286.42/12,814.94 = 5,307.90/x
  3. Step 3: Cross multiply
    9,286.42x = 12,814.94 × 5,307.90
  4. Step 4: Simplify right side
    9,286.42x = 68,020,420.03
  5. Step 5: Solve for x
    x = 68,020,420.03/9,286.42
  6. Step 6: Final answer
    x = 7,324.72

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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.