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Finding the Fourth Proportional to 9,659.20, 14,467.20 and 7,460.80

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Solution

The fourth proportional to 9,659.20, 14,467.20 and 7,460.80 is: 11,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.20 : 14,467.20 = 7,460.80 : x
  2. Step 2: Convert to fraction form
    9,659.20/14,467.20 = 7,460.80/x
  3. Step 3: Cross multiply
    9,659.20x = 14,467.20 × 7,460.80
  4. Step 4: Simplify right side
    9,659.20x = 107,936,885.76
  5. Step 5: Solve for x
    x = 107,936,885.76/9,659.20
  6. Step 6: Final answer
    x = 11,174.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.