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Finding the Fourth Proportional to 6,440.04, 9,666.10 and 3,322.20

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Solution

The fourth proportional to 6,440.04, 9,666.10 and 3,322.20 is: 4,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.04 : 9,666.10 = 3,322.20 : x
  2. Step 2: Convert to fraction form
    6,440.04/9,666.10 = 3,322.20/x
  3. Step 3: Cross multiply
    6,440.04x = 9,666.10 × 3,322.20
  4. Step 4: Simplify right side
    6,440.04x = 32,112,717.42
  5. Step 5: Solve for x
    x = 32,112,717.42/6,440.04
  6. Step 6: Final answer
    x = 4,986.42

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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.