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Finding the Fourth Proportional to 9,191.02, 13,788.05 and 3,644.39

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Solution

The fourth proportional to 9,191.02, 13,788.05 and 3,644.39 is: 5,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.02 : 13,788.05 = 3,644.39 : x
  2. Step 2: Convert to fraction form
    9,191.02/13,788.05 = 3,644.39/x
  3. Step 3: Cross multiply
    9,191.02x = 13,788.05 × 3,644.39
  4. Step 4: Simplify right side
    9,191.02x = 50,249,058.04
  5. Step 5: Solve for x
    x = 50,249,058.04/9,191.02
  6. Step 6: Final answer
    x = 5,467.19

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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.