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Finding the Fourth Proportional to 9,184.70, 12,675.22 and 5,647.23

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Solution

The fourth proportional to 9,184.70, 12,675.22 and 5,647.23 is: 7,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.70 : 12,675.22 = 5,647.23 : x
  2. Step 2: Convert to fraction form
    9,184.70/12,675.22 = 5,647.23/x
  3. Step 3: Cross multiply
    9,184.70x = 12,675.22 × 5,647.23
  4. Step 4: Simplify right side
    9,184.70x = 71,579,868.52
  5. Step 5: Solve for x
    x = 71,579,868.52/9,184.70
  6. Step 6: Final answer
    x = 7,793.38

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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.