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Finding the Fourth Proportional to 6,444.76, 9,667.19 and 2,284.79

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Solution

The fourth proportional to 6,444.76, 9,667.19 and 2,284.79 is: 3,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.76 : 9,667.19 = 2,284.79 : x
  2. Step 2: Convert to fraction form
    6,444.76/9,667.19 = 2,284.79/x
  3. Step 3: Cross multiply
    6,444.76x = 9,667.19 × 2,284.79
  4. Step 4: Simplify right side
    6,444.76x = 22,087,499.04
  5. Step 5: Solve for x
    x = 22,087,499.04/6,444.76
  6. Step 6: Final answer
    x = 3,427.20

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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.