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Finding the Fourth Proportional to 9,002.85, 12,422.54 and 5,226.23

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Solution

The fourth proportional to 9,002.85, 12,422.54 and 5,226.23 is: 7,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.85 : 12,422.54 = 5,226.23 : x
  2. Step 2: Convert to fraction form
    9,002.85/12,422.54 = 5,226.23/x
  3. Step 3: Cross multiply
    9,002.85x = 12,422.54 × 5,226.23
  4. Step 4: Simplify right side
    9,002.85x = 64,922,962.98
  5. Step 5: Solve for x
    x = 64,922,962.98/9,002.85
  6. Step 6: Final answer
    x = 7,211.38

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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.