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Finding the Fourth Proportional to 6,445.41, 9,666.53 and 2,061.96

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Solution

The fourth proportional to 6,445.41, 9,666.53 and 2,061.96 is: 3,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.41 : 9,666.53 = 2,061.96 : x
  2. Step 2: Convert to fraction form
    6,445.41/9,666.53 = 2,061.96/x
  3. Step 3: Cross multiply
    6,445.41x = 9,666.53 × 2,061.96
  4. Step 4: Simplify right side
    6,445.41x = 19,931,998.20
  5. Step 5: Solve for x
    x = 19,931,998.20/6,445.41
  6. Step 6: Final answer
    x = 3,092.43

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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.