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Finding the Fourth Proportional to 6,440.34, 9,658.02 and 2,055.42

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Solution

The fourth proportional to 6,440.34, 9,658.02 and 2,055.42 is: 3,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.34 : 9,658.02 = 2,055.42 : x
  2. Step 2: Convert to fraction form
    6,440.34/9,658.02 = 2,055.42/x
  3. Step 3: Cross multiply
    6,440.34x = 9,658.02 × 2,055.42
  4. Step 4: Simplify right side
    6,440.34x = 19,851,287.47
  5. Step 5: Solve for x
    x = 19,851,287.47/6,440.34
  6. Step 6: Final answer
    x = 3,082.34

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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.