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Finding the Fourth Proportional to 9,672.12, 13,346.55 and 5,638.32

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Solution

The fourth proportional to 9,672.12, 13,346.55 and 5,638.32 is: 7,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.12 : 13,346.55 = 5,638.32 : x
  2. Step 2: Convert to fraction form
    9,672.12/13,346.55 = 5,638.32/x
  3. Step 3: Cross multiply
    9,672.12x = 13,346.55 × 5,638.32
  4. Step 4: Simplify right side
    9,672.12x = 75,252,119.80
  5. Step 5: Solve for x
    x = 75,252,119.80/9,672.12
  6. Step 6: Final answer
    x = 7,780.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.