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Finding the Fourth Proportional to 6,093.10, 9,139.64 and 1,476.10

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Solution

The fourth proportional to 6,093.10, 9,139.64 and 1,476.10 is: 2,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.10 : 9,139.64 = 1,476.10 : x
  2. Step 2: Convert to fraction form
    6,093.10/9,139.64 = 1,476.10/x
  3. Step 3: Cross multiply
    6,093.10x = 9,139.64 × 1,476.10
  4. Step 4: Simplify right side
    6,093.10x = 13,491,022.60
  5. Step 5: Solve for x
    x = 13,491,022.60/6,093.10
  6. Step 6: Final answer
    x = 2,214.15

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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.