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Finding the Fourth Proportional to 6,124.59, 9,187.59 and 2,427.14

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Solution

The fourth proportional to 6,124.59, 9,187.59 and 2,427.14 is: 3,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.59 : 9,187.59 = 2,427.14 : x
  2. Step 2: Convert to fraction form
    6,124.59/9,187.59 = 2,427.14/x
  3. Step 3: Cross multiply
    6,124.59x = 9,187.59 × 2,427.14
  4. Step 4: Simplify right side
    6,124.59x = 22,299,567.19
  5. Step 5: Solve for x
    x = 22,299,567.19/6,124.59
  6. Step 6: Final answer
    x = 3,640.99

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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.