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Finding the Fourth Proportional to 9,223.40, 13,833.30 and 3,067.40

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Solution

The fourth proportional to 9,223.40, 13,833.30 and 3,067.40 is: 4,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.40 : 13,833.30 = 3,067.40 : x
  2. Step 2: Convert to fraction form
    9,223.40/13,833.30 = 3,067.40/x
  3. Step 3: Cross multiply
    9,223.40x = 13,833.30 × 3,067.40
  4. Step 4: Simplify right side
    9,223.40x = 42,432,264.42
  5. Step 5: Solve for x
    x = 42,432,264.42/9,223.40
  6. Step 6: Final answer
    x = 4,600.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.