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Finding the Fourth Proportional to 9,757.33, 14,637.51 and 3,181.98

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Solution

The fourth proportional to 9,757.33, 14,637.51 and 3,181.98 is: 4,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.33 : 14,637.51 = 3,181.98 : x
  2. Step 2: Convert to fraction form
    9,757.33/14,637.51 = 3,181.98/x
  3. Step 3: Cross multiply
    9,757.33x = 14,637.51 × 3,181.98
  4. Step 4: Simplify right side
    9,757.33x = 46,576,264.07
  5. Step 5: Solve for x
    x = 46,576,264.07/9,757.33
  6. Step 6: Final answer
    x = 4,773.47

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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.