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Finding the Fourth Proportional to 6,116.42, 9,160.04 and 3,338.94

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Solution

The fourth proportional to 6,116.42, 9,160.04 and 3,338.94 is: 5,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.42 : 9,160.04 = 3,338.94 : x
  2. Step 2: Convert to fraction form
    6,116.42/9,160.04 = 3,338.94/x
  3. Step 3: Cross multiply
    6,116.42x = 9,160.04 × 3,338.94
  4. Step 4: Simplify right side
    6,116.42x = 30,584,823.96
  5. Step 5: Solve for x
    x = 30,584,823.96/6,116.42
  6. Step 6: Final answer
    x = 5,000.45

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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.