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Finding the Fourth Proportional to 9,704.60, 14,556.90 and 5,330.60

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Solution

The fourth proportional to 9,704.60, 14,556.90 and 5,330.60 is: 7,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.60 : 14,556.90 = 5,330.60 : x
  2. Step 2: Convert to fraction form
    9,704.60/14,556.90 = 5,330.60/x
  3. Step 3: Cross multiply
    9,704.60x = 14,556.90 × 5,330.60
  4. Step 4: Simplify right side
    9,704.60x = 77,597,011.14
  5. Step 5: Solve for x
    x = 77,597,011.14/9,704.60
  6. Step 6: Final answer
    x = 7,995.90

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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.