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Finding the Fourth Proportional to 9,594.78, 14,396.31 and 3,673.47

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Solution

The fourth proportional to 9,594.78, 14,396.31 and 3,673.47 is: 5,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.78 : 14,396.31 = 3,673.47 : x
  2. Step 2: Convert to fraction form
    9,594.78/14,396.31 = 3,673.47/x
  3. Step 3: Cross multiply
    9,594.78x = 14,396.31 × 3,673.47
  4. Step 4: Simplify right side
    9,594.78x = 52,884,412.90
  5. Step 5: Solve for x
    x = 52,884,412.90/9,594.78
  6. Step 6: Final answer
    x = 5,511.79

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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.