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Finding the Fourth Proportional to 9,495.78, 14,241.99 and 2,570.82

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Solution

The fourth proportional to 9,495.78, 14,241.99 and 2,570.82 is: 3,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.78 : 14,241.99 = 2,570.82 : x
  2. Step 2: Convert to fraction form
    9,495.78/14,241.99 = 2,570.82/x
  3. Step 3: Cross multiply
    9,495.78x = 14,241.99 × 2,570.82
  4. Step 4: Simplify right side
    9,495.78x = 36,613,592.73
  5. Step 5: Solve for x
    x = 36,613,592.73/9,495.78
  6. Step 6: Final answer
    x = 3,855.78

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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.