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Finding the Fourth Proportional to 6,484.04, 9,719.83 and 4,137.42

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Solution

The fourth proportional to 6,484.04, 9,719.83 and 4,137.42 is: 6,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.04 : 9,719.83 = 4,137.42 : x
  2. Step 2: Convert to fraction form
    6,484.04/9,719.83 = 4,137.42/x
  3. Step 3: Cross multiply
    6,484.04x = 9,719.83 × 4,137.42
  4. Step 4: Simplify right side
    6,484.04x = 40,215,019.04
  5. Step 5: Solve for x
    x = 40,215,019.04/6,484.04
  6. Step 6: Final answer
    x = 6,202.15

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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.