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Finding the Fourth Proportional to 6,155.71, 9,228.08 and 2,259.20

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Solution

The fourth proportional to 6,155.71, 9,228.08 and 2,259.20 is: 3,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.71 : 9,228.08 = 2,259.20 : x
  2. Step 2: Convert to fraction form
    6,155.71/9,228.08 = 2,259.20/x
  3. Step 3: Cross multiply
    6,155.71x = 9,228.08 × 2,259.20
  4. Step 4: Simplify right side
    6,155.71x = 20,848,078.34
  5. Step 5: Solve for x
    x = 20,848,078.34/6,155.71
  6. Step 6: Final answer
    x = 3,386.79

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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.