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Finding the Fourth Proportional to 6,315.52, 9,466 and 3,543.44

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Solution

The fourth proportional to 6,315.52, 9,466 and 3,543.44 is: 5,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.52 : 9,466 = 3,543.44 : x
  2. Step 2: Convert to fraction form
    6,315.52/9,466 = 3,543.44/x
  3. Step 3: Cross multiply
    6,315.52x = 9,466 × 3,543.44
  4. Step 4: Simplify right side
    6,315.52x = 33,542,203.04
  5. Step 5: Solve for x
    x = 33,542,203.04/6,315.52
  6. Step 6: Final answer
    x = 5,311.08

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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.