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Finding the Fourth Proportional to 9,602, 14,405.46 and 2,938.33

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Solution

The fourth proportional to 9,602, 14,405.46 and 2,938.33 is: 4,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602 : 14,405.46 = 2,938.33 : x
  2. Step 2: Convert to fraction form
    9,602/14,405.46 = 2,938.33/x
  3. Step 3: Cross multiply
    9,602x = 14,405.46 × 2,938.33
  4. Step 4: Simplify right side
    9,602x = 42,327,995.28
  5. Step 5: Solve for x
    x = 42,327,995.28/9,602
  6. Step 6: Final answer
    x = 4,408.25

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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.