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Finding the Fourth Proportional to 6,071.60, 9,107.40 and 2,993.84

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Solution

The fourth proportional to 6,071.60, 9,107.40 and 2,993.84 is: 4,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.60 : 9,107.40 = 2,993.84 : x
  2. Step 2: Convert to fraction form
    6,071.60/9,107.40 = 2,993.84/x
  3. Step 3: Cross multiply
    6,071.60x = 9,107.40 × 2,993.84
  4. Step 4: Simplify right side
    6,071.60x = 27,266,098.42
  5. Step 5: Solve for x
    x = 27,266,098.42/6,071.60
  6. Step 6: Final answer
    x = 4,490.76

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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.