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Finding the Fourth Proportional to 6,444.06, 9,666.12 and 2,745.60

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Solution

The fourth proportional to 6,444.06, 9,666.12 and 2,745.60 is: 4,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.06 : 9,666.12 = 2,745.60 : x
  2. Step 2: Convert to fraction form
    6,444.06/9,666.12 = 2,745.60/x
  3. Step 3: Cross multiply
    6,444.06x = 9,666.12 × 2,745.60
  4. Step 4: Simplify right side
    6,444.06x = 26,539,299.07
  5. Step 5: Solve for x
    x = 26,539,299.07/6,444.06
  6. Step 6: Final answer
    x = 4,118.41

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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.