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Finding the Fourth Proportional to 9,847.12, 14,768.16 and 2,920

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Solution

The fourth proportional to 9,847.12, 14,768.16 and 2,920 is: 4,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.12 : 14,768.16 = 2,920 : x
  2. Step 2: Convert to fraction form
    9,847.12/14,768.16 = 2,920/x
  3. Step 3: Cross multiply
    9,847.12x = 14,768.16 × 2,920
  4. Step 4: Simplify right side
    9,847.12x = 43,123,027.20
  5. Step 5: Solve for x
    x = 43,123,027.20/9,847.12
  6. Step 6: Final answer
    x = 4,379.25

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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.