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Finding the Fourth Proportional to 6,078.14, 9,117.21 and 1,918.57

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Solution

The fourth proportional to 6,078.14, 9,117.21 and 1,918.57 is: 2,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.14 : 9,117.21 = 1,918.57 : x
  2. Step 2: Convert to fraction form
    6,078.14/9,117.21 = 1,918.57/x
  3. Step 3: Cross multiply
    6,078.14x = 9,117.21 × 1,918.57
  4. Step 4: Simplify right side
    6,078.14x = 17,491,950.41
  5. Step 5: Solve for x
    x = 17,491,950.41/6,078.14
  6. Step 6: Final answer
    x = 2,877.85

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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.