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Finding the Fourth Proportional to 9,666.68, 13,340.58 and 5,475.20

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Solution

The fourth proportional to 9,666.68, 13,340.58 and 5,475.20 is: 7,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.68 : 13,340.58 = 5,475.20 : x
  2. Step 2: Convert to fraction form
    9,666.68/13,340.58 = 5,475.20/x
  3. Step 3: Cross multiply
    9,666.68x = 13,340.58 × 5,475.20
  4. Step 4: Simplify right side
    9,666.68x = 73,042,343.62
  5. Step 5: Solve for x
    x = 73,042,343.62/9,666.68
  6. Step 6: Final answer
    x = 7,556.09

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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.