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Finding the Fourth Proportional to 6,154.07, 9,219.96 and 2,825.10

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Solution

The fourth proportional to 6,154.07, 9,219.96 and 2,825.10 is: 4,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.07 : 9,219.96 = 2,825.10 : x
  2. Step 2: Convert to fraction form
    6,154.07/9,219.96 = 2,825.10/x
  3. Step 3: Cross multiply
    6,154.07x = 9,219.96 × 2,825.10
  4. Step 4: Simplify right side
    6,154.07x = 26,047,309.00
  5. Step 5: Solve for x
    x = 26,047,309.00/6,154.07
  6. Step 6: Final answer
    x = 4,232.54

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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.