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Finding the Fourth Proportional to 6,548.67, 9,820.62 and 2,387.45

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Solution

The fourth proportional to 6,548.67, 9,820.62 and 2,387.45 is: 3,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.67 : 9,820.62 = 2,387.45 : x
  2. Step 2: Convert to fraction form
    6,548.67/9,820.62 = 2,387.45/x
  3. Step 3: Cross multiply
    6,548.67x = 9,820.62 × 2,387.45
  4. Step 4: Simplify right side
    6,548.67x = 23,446,239.22
  5. Step 5: Solve for x
    x = 23,446,239.22/6,548.67
  6. Step 6: Final answer
    x = 3,580.31

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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.