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Finding the Fourth Proportional to 6,444.12, 9,666.18 and 4,266.66

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Solution

The fourth proportional to 6,444.12, 9,666.18 and 4,266.66 is: 6,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.12 : 9,666.18 = 4,266.66 : x
  2. Step 2: Convert to fraction form
    6,444.12/9,666.18 = 4,266.66/x
  3. Step 3: Cross multiply
    6,444.12x = 9,666.18 × 4,266.66
  4. Step 4: Simplify right side
    6,444.12x = 41,242,303.56
  5. Step 5: Solve for x
    x = 41,242,303.56/6,444.12
  6. Step 6: Final answer
    x = 6,399.99

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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.