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Finding the Fourth Proportional to 9,616, 14,400.78 and 4,673.44

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Solution

The fourth proportional to 9,616, 14,400.78 and 4,673.44 is: 6,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616 : 14,400.78 = 4,673.44 : x
  2. Step 2: Convert to fraction form
    9,616/14,400.78 = 4,673.44/x
  3. Step 3: Cross multiply
    9,616x = 14,400.78 × 4,673.44
  4. Step 4: Simplify right side
    9,616x = 67,301,181.28
  5. Step 5: Solve for x
    x = 67,301,181.28/9,616
  6. Step 6: Final answer
    x = 6,998.87

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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.