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Finding the Fourth Proportional to 9,297.66, 13,952.70 and 3,454.86

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Solution

The fourth proportional to 9,297.66, 13,952.70 and 3,454.86 is: 5,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.66 : 13,952.70 = 3,454.86 : x
  2. Step 2: Convert to fraction form
    9,297.66/13,952.70 = 3,454.86/x
  3. Step 3: Cross multiply
    9,297.66x = 13,952.70 × 3,454.86
  4. Step 4: Simplify right side
    9,297.66x = 48,204,625.12
  5. Step 5: Solve for x
    x = 48,204,625.12/9,297.66
  6. Step 6: Final answer
    x = 5,184.60

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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.