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Finding the Fourth Proportional to 6,290.31, 9,435.47 and 1,673.31

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Solution

The fourth proportional to 6,290.31, 9,435.47 and 1,673.31 is: 2,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.31 : 9,435.47 = 1,673.31 : x
  2. Step 2: Convert to fraction form
    6,290.31/9,435.47 = 1,673.31/x
  3. Step 3: Cross multiply
    6,290.31x = 9,435.47 × 1,673.31
  4. Step 4: Simplify right side
    6,290.31x = 15,788,466.31
  5. Step 5: Solve for x
    x = 15,788,466.31/6,290.31
  6. Step 6: Final answer
    x = 2,509.97

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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.