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Finding the Fourth Proportional to 6,441.16, 9,705.62 and 5,296.80

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Solution

The fourth proportional to 6,441.16, 9,705.62 and 5,296.80 is: 7,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.16 : 9,705.62 = 5,296.80 : x
  2. Step 2: Convert to fraction form
    6,441.16/9,705.62 = 5,296.80/x
  3. Step 3: Cross multiply
    6,441.16x = 9,705.62 × 5,296.80
  4. Step 4: Simplify right side
    6,441.16x = 51,408,665.66
  5. Step 5: Solve for x
    x = 51,408,665.66/6,441.16
  6. Step 6: Final answer
    x = 7,981.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.