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Finding the Fourth Proportional to 6,443.98, 9,666.06 and 1,826.98

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Solution

The fourth proportional to 6,443.98, 9,666.06 and 1,826.98 is: 2,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.98 : 9,666.06 = 1,826.98 : x
  2. Step 2: Convert to fraction form
    6,443.98/9,666.06 = 1,826.98/x
  3. Step 3: Cross multiply
    6,443.98x = 9,666.06 × 1,826.98
  4. Step 4: Simplify right side
    6,443.98x = 17,659,667.28
  5. Step 5: Solve for x
    x = 17,659,667.28/6,443.98
  6. Step 6: Final answer
    x = 2,740.49

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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.