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Finding the Fourth Proportional to 6,130.56, 9,196.76 and 2,843.99

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Solution

The fourth proportional to 6,130.56, 9,196.76 and 2,843.99 is: 4,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.56 : 9,196.76 = 2,843.99 : x
  2. Step 2: Convert to fraction form
    6,130.56/9,196.76 = 2,843.99/x
  3. Step 3: Cross multiply
    6,130.56x = 9,196.76 × 2,843.99
  4. Step 4: Simplify right side
    6,130.56x = 26,155,433.27
  5. Step 5: Solve for x
    x = 26,155,433.27/6,130.56
  6. Step 6: Final answer
    x = 4,266.40

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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.